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Finding the Fourth Proportional to 646.78, 968.57 and 592.16

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Solution

The fourth proportional to 646.78, 968.57 and 592.16 is: 886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.78 : 968.57 = 592.16 : x
  2. Step 2: Convert to fraction form
    646.78/968.57 = 592.16/x
  3. Step 3: Cross multiply
    646.78x = 968.57 × 592.16
  4. Step 4: Simplify right side
    646.78x = 573,548.41
  5. Step 5: Solve for x
    x = 573,548.41/646.78
  6. Step 6: Final answer
    x = 886.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.