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Finding the Fourth Proportional to 503.66, 694.55 and 433.95

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Solution

The fourth proportional to 503.66, 694.55 and 433.95 is: 598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.66 : 694.55 = 433.95 : x
  2. Step 2: Convert to fraction form
    503.66/694.55 = 433.95/x
  3. Step 3: Cross multiply
    503.66x = 694.55 × 433.95
  4. Step 4: Simplify right side
    503.66x = 301,397.80
  5. Step 5: Solve for x
    x = 301,397.80/503.66
  6. Step 6: Final answer
    x = 598.42

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