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Finding the Fourth Proportional to 1,534.47, 2,301.78 and 560.31

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Solution

The fourth proportional to 1,534.47, 2,301.78 and 560.31 is: 840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.47 : 2,301.78 = 560.31 : x
  2. Step 2: Convert to fraction form
    1,534.47/2,301.78 = 560.31/x
  3. Step 3: Cross multiply
    1,534.47x = 2,301.78 × 560.31
  4. Step 4: Simplify right side
    1,534.47x = 1,289,710.35
  5. Step 5: Solve for x
    x = 1,289,710.35/1,534.47
  6. Step 6: Final answer
    x = 840.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.