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Finding the Fourth Proportional to 646.61, 886.31 and 637.50

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Solution

The fourth proportional to 646.61, 886.31 and 637.50 is: 873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.61 : 886.31 = 637.50 : x
  2. Step 2: Convert to fraction form
    646.61/886.31 = 637.50/x
  3. Step 3: Cross multiply
    646.61x = 886.31 × 637.50
  4. Step 4: Simplify right side
    646.61x = 565,017.22
  5. Step 5: Solve for x
    x = 565,017.22/646.61
  6. Step 6: Final answer
    x = 873.81

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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.