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Finding the Fourth Proportional to 840.15, 1,259.31 and 474.17

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Solution

The fourth proportional to 840.15, 1,259.31 and 474.17 is: 710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.15 : 1,259.31 = 474.17 : x
  2. Step 2: Convert to fraction form
    840.15/1,259.31 = 474.17/x
  3. Step 3: Cross multiply
    840.15x = 1,259.31 × 474.17
  4. Step 4: Simplify right side
    840.15x = 597,130.17
  5. Step 5: Solve for x
    x = 597,130.17/840.15
  6. Step 6: Final answer
    x = 710.74

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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.