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Finding the Fourth Proportional to 814.61, 1,124.18 and 465.30

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Solution

The fourth proportional to 814.61, 1,124.18 and 465.30 is: 642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.61 : 1,124.18 = 465.30 : x
  2. Step 2: Convert to fraction form
    814.61/1,124.18 = 465.30/x
  3. Step 3: Cross multiply
    814.61x = 1,124.18 × 465.30
  4. Step 4: Simplify right side
    814.61x = 523,078.63
  5. Step 5: Solve for x
    x = 523,078.63/814.61
  6. Step 6: Final answer
    x = 642.13

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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.