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Finding the Fourth Proportional to 501.51, 691.67 and 314.94

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Solution

The fourth proportional to 501.51, 691.67 and 314.94 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.51 : 691.67 = 314.94 : x
  2. Step 2: Convert to fraction form
    501.51/691.67 = 314.94/x
  3. Step 3: Cross multiply
    501.51x = 691.67 × 314.94
  4. Step 4: Simplify right side
    501.51x = 217,834.55
  5. Step 5: Solve for x
    x = 217,834.55/501.51
  6. Step 6: Final answer
    x = 434.36

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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.