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Finding the Fourth Proportional to 627.66, 946.26 and 587.52

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Solution

The fourth proportional to 627.66, 946.26 and 587.52 is: 885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.66 : 946.26 = 587.52 : x
  2. Step 2: Convert to fraction form
    627.66/946.26 = 587.52/x
  3. Step 3: Cross multiply
    627.66x = 946.26 × 587.52
  4. Step 4: Simplify right side
    627.66x = 555,946.68
  5. Step 5: Solve for x
    x = 555,946.68/627.66
  6. Step 6: Final answer
    x = 885.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.