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Finding the Fourth Proportional to 921.74, 1,381.55 and 459.83

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Solution

The fourth proportional to 921.74, 1,381.55 and 459.83 is: 689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.74 : 1,381.55 = 459.83 : x
  2. Step 2: Convert to fraction form
    921.74/1,381.55 = 459.83/x
  3. Step 3: Cross multiply
    921.74x = 1,381.55 × 459.83
  4. Step 4: Simplify right side
    921.74x = 635,279.29
  5. Step 5: Solve for x
    x = 635,279.29/921.74
  6. Step 6: Final answer
    x = 689.22

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1.5x scale

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.