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Finding the Fourth Proportional to 1,040.21, 1,560.33 and 260.21

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Solution

The fourth proportional to 1,040.21, 1,560.33 and 260.21 is: 390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.21 : 1,560.33 = 260.21 : x
  2. Step 2: Convert to fraction form
    1,040.21/1,560.33 = 260.21/x
  3. Step 3: Cross multiply
    1,040.21x = 1,560.33 × 260.21
  4. Step 4: Simplify right side
    1,040.21x = 406,013.47
  5. Step 5: Solve for x
    x = 406,013.47/1,040.21
  6. Step 6: Final answer
    x = 390.32

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.