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Finding the Fourth Proportional to 972.54, 1,342.18 and 840.12

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Solution

The fourth proportional to 972.54, 1,342.18 and 840.12 is: 1,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.54 : 1,342.18 = 840.12 : x
  2. Step 2: Convert to fraction form
    972.54/1,342.18 = 840.12/x
  3. Step 3: Cross multiply
    972.54x = 1,342.18 × 840.12
  4. Step 4: Simplify right side
    972.54x = 1,127,592.26
  5. Step 5: Solve for x
    x = 1,127,592.26/972.54
  6. Step 6: Final answer
    x = 1,159.43

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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.