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Finding the Fourth Proportional to 907.50, 1,252.38 and 558.12

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Solution

The fourth proportional to 907.50, 1,252.38 and 558.12 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.50 : 1,252.38 = 558.12 : x
  2. Step 2: Convert to fraction form
    907.50/1,252.38 = 558.12/x
  3. Step 3: Cross multiply
    907.50x = 1,252.38 × 558.12
  4. Step 4: Simplify right side
    907.50x = 698,978.33
  5. Step 5: Solve for x
    x = 698,978.33/907.50
  6. Step 6: Final answer
    x = 770.22

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Double scale
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1.5x scale

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.