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Finding the Fourth Proportional to 916.32, 1,262.81 and 653.88

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Solution

The fourth proportional to 916.32, 1,262.81 and 653.88 is: 901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.32 : 1,262.81 = 653.88 : x
  2. Step 2: Convert to fraction form
    916.32/1,262.81 = 653.88/x
  3. Step 3: Cross multiply
    916.32x = 1,262.81 × 653.88
  4. Step 4: Simplify right side
    916.32x = 825,722.93
  5. Step 5: Solve for x
    x = 825,722.93/916.32
  6. Step 6: Final answer
    x = 901.13

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1.5x scale

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.