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Finding the Fourth Proportional to 501.48, 691.78 and 314.76

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Solution

The fourth proportional to 501.48, 691.78 and 314.76 is: 434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 691.78 = 314.76 : x
  2. Step 2: Convert to fraction form
    501.48/691.78 = 314.76/x
  3. Step 3: Cross multiply
    501.48x = 691.78 × 314.76
  4. Step 4: Simplify right side
    501.48x = 217,744.67
  5. Step 5: Solve for x
    x = 217,744.67/501.48
  6. Step 6: Final answer
    x = 434.20

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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.