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Finding the Fourth Proportional to 660.18, 985.38 and 497.10

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Solution

The fourth proportional to 660.18, 985.38 and 497.10 is: 741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.18 : 985.38 = 497.10 : x
  2. Step 2: Convert to fraction form
    660.18/985.38 = 497.10/x
  3. Step 3: Cross multiply
    660.18x = 985.38 × 497.10
  4. Step 4: Simplify right side
    660.18x = 489,832.40
  5. Step 5: Solve for x
    x = 489,832.40/660.18
  6. Step 6: Final answer
    x = 741.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.