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Finding the Fourth Proportional to 501.07, 689.96 and 471.85

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Solution

The fourth proportional to 501.07, 689.96 and 471.85 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.07 : 689.96 = 471.85 : x
  2. Step 2: Convert to fraction form
    501.07/689.96 = 471.85/x
  3. Step 3: Cross multiply
    501.07x = 689.96 × 471.85
  4. Step 4: Simplify right side
    501.07x = 325,557.63
  5. Step 5: Solve for x
    x = 325,557.63/501.07
  6. Step 6: Final answer
    x = 649.72

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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.