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Finding the Fourth Proportional to 691.84, 1,032.08 and 618.88

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Solution

The fourth proportional to 691.84, 1,032.08 and 618.88 is: 923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.84 : 1,032.08 = 618.88 : x
  2. Step 2: Convert to fraction form
    691.84/1,032.08 = 618.88/x
  3. Step 3: Cross multiply
    691.84x = 1,032.08 × 618.88
  4. Step 4: Simplify right side
    691.84x = 638,733.67
  5. Step 5: Solve for x
    x = 638,733.67/691.84
  6. Step 6: Final answer
    x = 923.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.