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Finding the Fourth Proportional to 458.84, 624.72 and 457.40

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Solution

The fourth proportional to 458.84, 624.72 and 457.40 is: 622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 624.72 = 457.40 : x
  2. Step 2: Convert to fraction form
    458.84/624.72 = 457.40/x
  3. Step 3: Cross multiply
    458.84x = 624.72 × 457.40
  4. Step 4: Simplify right side
    458.84x = 285,746.93
  5. Step 5: Solve for x
    x = 285,746.93/458.84
  6. Step 6: Final answer
    x = 622.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.