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Finding the Fourth Proportional to 565.02, 843.17 and 503.66

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Solution

The fourth proportional to 565.02, 843.17 and 503.66 is: 751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 843.17 = 503.66 : x
  2. Step 2: Convert to fraction form
    565.02/843.17 = 503.66/x
  3. Step 3: Cross multiply
    565.02x = 843.17 × 503.66
  4. Step 4: Simplify right side
    565.02x = 424,670.59
  5. Step 5: Solve for x
    x = 424,670.59/565.02
  6. Step 6: Final answer
    x = 751.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.