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Finding the Fourth Proportional to 907.59, 1,252.50 and 642.50

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Solution

The fourth proportional to 907.59, 1,252.50 and 642.50 is: 886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.59 : 1,252.50 = 642.50 : x
  2. Step 2: Convert to fraction form
    907.59/1,252.50 = 642.50/x
  3. Step 3: Cross multiply
    907.59x = 1,252.50 × 642.50
  4. Step 4: Simplify right side
    907.59x = 804,727.28
  5. Step 5: Solve for x
    x = 804,727.28/907.59
  6. Step 6: Final answer
    x = 886.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.