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Finding the Fourth Proportional to 904.92, 1,357.11 and 493.98

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Solution

The fourth proportional to 904.92, 1,357.11 and 493.98 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.92 : 1,357.11 = 493.98 : x
  2. Step 2: Convert to fraction form
    904.92/1,357.11 = 493.98/x
  3. Step 3: Cross multiply
    904.92x = 1,357.11 × 493.98
  4. Step 4: Simplify right side
    904.92x = 670,385.20
  5. Step 5: Solve for x
    x = 670,385.20/904.92
  6. Step 6: Final answer
    x = 740.82

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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.