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Finding the Fourth Proportional to 907.92, 1,358.88 and 496.08

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Solution

The fourth proportional to 907.92, 1,358.88 and 496.08 is: 742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.92 : 1,358.88 = 496.08 : x
  2. Step 2: Convert to fraction form
    907.92/1,358.88 = 496.08/x
  3. Step 3: Cross multiply
    907.92x = 1,358.88 × 496.08
  4. Step 4: Simplify right side
    907.92x = 674,113.19
  5. Step 5: Solve for x
    x = 674,113.19/907.92
  6. Step 6: Final answer
    x = 742.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.