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Finding the Fourth Proportional to 1,030.59, 1,422.38 and 811.21

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Solution

The fourth proportional to 1,030.59, 1,422.38 and 811.21 is: 1,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.59 : 1,422.38 = 811.21 : x
  2. Step 2: Convert to fraction form
    1,030.59/1,422.38 = 811.21/x
  3. Step 3: Cross multiply
    1,030.59x = 1,422.38 × 811.21
  4. Step 4: Simplify right side
    1,030.59x = 1,153,848.88
  5. Step 5: Solve for x
    x = 1,153,848.88/1,030.59
  6. Step 6: Final answer
    x = 1,119.60

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.