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Finding the Fourth Proportional to 907.94, 1,363.43 and 497.88

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Solution

The fourth proportional to 907.94, 1,363.43 and 497.88 is: 747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.94 : 1,363.43 = 497.88 : x
  2. Step 2: Convert to fraction form
    907.94/1,363.43 = 497.88/x
  3. Step 3: Cross multiply
    907.94x = 1,363.43 × 497.88
  4. Step 4: Simplify right side
    907.94x = 678,825.77
  5. Step 5: Solve for x
    x = 678,825.77/907.94
  6. Step 6: Final answer
    x = 747.65

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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.