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Finding the Fourth Proportional to 1,023.50, 1,534.65 and 560.48

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Solution

The fourth proportional to 1,023.50, 1,534.65 and 560.48 is: 840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.50 : 1,534.65 = 560.48 : x
  2. Step 2: Convert to fraction form
    1,023.50/1,534.65 = 560.48/x
  3. Step 3: Cross multiply
    1,023.50x = 1,534.65 × 560.48
  4. Step 4: Simplify right side
    1,023.50x = 860,140.63
  5. Step 5: Solve for x
    x = 860,140.63/1,023.50
  6. Step 6: Final answer
    x = 840.39

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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.