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Finding the Fourth Proportional to 646.88, 886.88 and 635.20

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Solution

The fourth proportional to 646.88, 886.88 and 635.20 is: 870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 886.88 = 635.20 : x
  2. Step 2: Convert to fraction form
    646.88/886.88 = 635.20/x
  3. Step 3: Cross multiply
    646.88x = 886.88 × 635.20
  4. Step 4: Simplify right side
    646.88x = 563,347.76
  5. Step 5: Solve for x
    x = 563,347.76/646.88
  6. Step 6: Final answer
    x = 870.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.