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Finding the Fourth Proportional to 1,053.37, 1,580.28 and 360.15

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Solution

The fourth proportional to 1,053.37, 1,580.28 and 360.15 is: 540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.37 : 1,580.28 = 360.15 : x
  2. Step 2: Convert to fraction form
    1,053.37/1,580.28 = 360.15/x
  3. Step 3: Cross multiply
    1,053.37x = 1,580.28 × 360.15
  4. Step 4: Simplify right side
    1,053.37x = 569,137.84
  5. Step 5: Solve for x
    x = 569,137.84/1,053.37
  6. Step 6: Final answer
    x = 540.30

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Double scale
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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.