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Finding the Fourth Proportional to 921.93, 1,381.36 and 647.53

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Solution

The fourth proportional to 921.93, 1,381.36 and 647.53 is: 970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.93 : 1,381.36 = 647.53 : x
  2. Step 2: Convert to fraction form
    921.93/1,381.36 = 647.53/x
  3. Step 3: Cross multiply
    921.93x = 1,381.36 × 647.53
  4. Step 4: Simplify right side
    921.93x = 894,472.04
  5. Step 5: Solve for x
    x = 894,472.04/921.93
  6. Step 6: Final answer
    x = 970.22

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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.