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Finding the Fourth Proportional to 663.57, 914.76 and 497.52

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Solution

The fourth proportional to 663.57, 914.76 and 497.52 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 914.76 = 497.52 : x
  2. Step 2: Convert to fraction form
    663.57/914.76 = 497.52/x
  3. Step 3: Cross multiply
    663.57x = 914.76 × 497.52
  4. Step 4: Simplify right side
    663.57x = 455,111.40
  5. Step 5: Solve for x
    x = 455,111.40/663.57
  6. Step 6: Final answer
    x = 685.85

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Double scale
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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.