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Finding the Fourth Proportional to 813.66, 1,123.03 and 514.72

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Solution

The fourth proportional to 813.66, 1,123.03 and 514.72 is: 710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.66 : 1,123.03 = 514.72 : x
  2. Step 2: Convert to fraction form
    813.66/1,123.03 = 514.72/x
  3. Step 3: Cross multiply
    813.66x = 1,123.03 × 514.72
  4. Step 4: Simplify right side
    813.66x = 578,046.00
  5. Step 5: Solve for x
    x = 578,046.00/813.66
  6. Step 6: Final answer
    x = 710.43

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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.