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Finding the Fourth Proportional to 818.46, 1,129.35 and 503.77

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Solution

The fourth proportional to 818.46, 1,129.35 and 503.77 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.46 : 1,129.35 = 503.77 : x
  2. Step 2: Convert to fraction form
    818.46/1,129.35 = 503.77/x
  3. Step 3: Cross multiply
    818.46x = 1,129.35 × 503.77
  4. Step 4: Simplify right side
    818.46x = 568,930.13
  5. Step 5: Solve for x
    x = 568,930.13/818.46
  6. Step 6: Final answer
    x = 695.13

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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.