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Finding the Fourth Proportional to 765.94, 1,056.49 and 471.03

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Solution

The fourth proportional to 765.94, 1,056.49 and 471.03 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.94 : 1,056.49 = 471.03 : x
  2. Step 2: Convert to fraction form
    765.94/1,056.49 = 471.03/x
  3. Step 3: Cross multiply
    765.94x = 1,056.49 × 471.03
  4. Step 4: Simplify right side
    765.94x = 497,638.48
  5. Step 5: Solve for x
    x = 497,638.48/765.94
  6. Step 6: Final answer
    x = 649.71

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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.