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Finding the Fourth Proportional to 568.48, 785.26 and 458.40

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Solution

The fourth proportional to 568.48, 785.26 and 458.40 is: 633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.48 : 785.26 = 458.40 : x
  2. Step 2: Convert to fraction form
    568.48/785.26 = 458.40/x
  3. Step 3: Cross multiply
    568.48x = 785.26 × 458.40
  4. Step 4: Simplify right side
    568.48x = 359,963.18
  5. Step 5: Solve for x
    x = 359,963.18/568.48
  6. Step 6: Final answer
    x = 633.20

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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.