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Finding the Fourth Proportional to 972.18, 1,342.06 and 640.62

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Solution

The fourth proportional to 972.18, 1,342.06 and 640.62 is: 884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.18 : 1,342.06 = 640.62 : x
  2. Step 2: Convert to fraction form
    972.18/1,342.06 = 640.62/x
  3. Step 3: Cross multiply
    972.18x = 1,342.06 × 640.62
  4. Step 4: Simplify right side
    972.18x = 859,750.48
  5. Step 5: Solve for x
    x = 859,750.48/972.18
  6. Step 6: Final answer
    x = 884.35

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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.