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Finding the Fourth Proportional to 657.50, 900.78 and 632.90

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Solution

The fourth proportional to 657.50, 900.78 and 632.90 is: 867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.50 : 900.78 = 632.90 : x
  2. Step 2: Convert to fraction form
    657.50/900.78 = 632.90/x
  3. Step 3: Cross multiply
    657.50x = 900.78 × 632.90
  4. Step 4: Simplify right side
    657.50x = 570,103.66
  5. Step 5: Solve for x
    x = 570,103.66/657.50
  6. Step 6: Final answer
    x = 867.08

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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.