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Finding the Fourth Proportional to 985, 1,477.20 and 497.92

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Solution

The fourth proportional to 985, 1,477.20 and 497.92 is: 746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    985 : 1,477.20 = 497.92 : x
  2. Step 2: Convert to fraction form
    985/1,477.20 = 497.92/x
  3. Step 3: Cross multiply
    985x = 1,477.20 × 497.92
  4. Step 4: Simplify right side
    985x = 735,527.42
  5. Step 5: Solve for x
    x = 735,527.42/985
  6. Step 6: Final answer
    x = 746.73

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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.