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Finding the Fourth Proportional to 907.90, 1,360.05 and 496.30

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Solution

The fourth proportional to 907.90, 1,360.05 and 496.30 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.90 : 1,360.05 = 496.30 : x
  2. Step 2: Convert to fraction form
    907.90/1,360.05 = 496.30/x
  3. Step 3: Cross multiply
    907.90x = 1,360.05 × 496.30
  4. Step 4: Simplify right side
    907.90x = 674,992.82
  5. Step 5: Solve for x
    x = 674,992.82/907.90
  6. Step 6: Final answer
    x = 743.47

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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.