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Finding the Fourth Proportional to 663.61, 916.46 and 497.56

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Solution

The fourth proportional to 663.61, 916.46 and 497.56 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.61 : 916.46 = 497.56 : x
  2. Step 2: Convert to fraction form
    663.61/916.46 = 497.56/x
  3. Step 3: Cross multiply
    663.61x = 916.46 × 497.56
  4. Step 4: Simplify right side
    663.61x = 455,992.79
  5. Step 5: Solve for x
    x = 455,992.79/663.61
  6. Step 6: Final answer
    x = 687.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.