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Finding the Fourth Proportional to 840.04, 1,159.50 and 560.68

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Solution

The fourth proportional to 840.04, 1,159.50 and 560.68 is: 773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.04 : 1,159.50 = 560.68 : x
  2. Step 2: Convert to fraction form
    840.04/1,159.50 = 560.68/x
  3. Step 3: Cross multiply
    840.04x = 1,159.50 × 560.68
  4. Step 4: Simplify right side
    840.04x = 650,108.46
  5. Step 5: Solve for x
    x = 650,108.46/840.04
  6. Step 6: Final answer
    x = 773.90

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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.