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Finding the Fourth Proportional to 811.60, 1,120.08 and 462.40

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Solution

The fourth proportional to 811.60, 1,120.08 and 462.40 is: 638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.60 : 1,120.08 = 462.40 : x
  2. Step 2: Convert to fraction form
    811.60/1,120.08 = 462.40/x
  3. Step 3: Cross multiply
    811.60x = 1,120.08 × 462.40
  4. Step 4: Simplify right side
    811.60x = 517,924.99
  5. Step 5: Solve for x
    x = 517,924.99/811.60
  6. Step 6: Final answer
    x = 638.15

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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.