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Finding the Fourth Proportional to 569.06, 781.54 and 503.48

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Solution

The fourth proportional to 569.06, 781.54 and 503.48 is: 691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 781.54 = 503.48 : x
  2. Step 2: Convert to fraction form
    569.06/781.54 = 503.48/x
  3. Step 3: Cross multiply
    569.06x = 781.54 × 503.48
  4. Step 4: Simplify right side
    569.06x = 393,489.76
  5. Step 5: Solve for x
    x = 393,489.76/569.06
  6. Step 6: Final answer
    x = 691.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.