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Finding the Fourth Proportional to 765.71, 1,056.92 and 569.49

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Solution

The fourth proportional to 765.71, 1,056.92 and 569.49 is: 786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.71 : 1,056.92 = 569.49 : x
  2. Step 2: Convert to fraction form
    765.71/1,056.92 = 569.49/x
  3. Step 3: Cross multiply
    765.71x = 1,056.92 × 569.49
  4. Step 4: Simplify right side
    765.71x = 601,898.56
  5. Step 5: Solve for x
    x = 601,898.56/765.71
  6. Step 6: Final answer
    x = 786.07

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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.