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Finding the Fourth Proportional to 585.63, 803.72 and 569.43

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Solution

The fourth proportional to 585.63, 803.72 and 569.43 is: 781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.63 : 803.72 = 569.43 : x
  2. Step 2: Convert to fraction form
    585.63/803.72 = 569.43/x
  3. Step 3: Cross multiply
    585.63x = 803.72 × 569.43
  4. Step 4: Simplify right side
    585.63x = 457,663.70
  5. Step 5: Solve for x
    x = 457,663.70/585.63
  6. Step 6: Final answer
    x = 781.49

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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.