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Finding the Fourth Proportional to 655.70, 903.35 and 458.87

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Solution

The fourth proportional to 655.70, 903.35 and 458.87 is: 632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.70 : 903.35 = 458.87 : x
  2. Step 2: Convert to fraction form
    655.70/903.35 = 458.87/x
  3. Step 3: Cross multiply
    655.70x = 903.35 × 458.87
  4. Step 4: Simplify right side
    655.70x = 414,516.84
  5. Step 5: Solve for x
    x = 414,516.84/655.70
  6. Step 6: Final answer
    x = 632.18

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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.