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Finding the Fourth Proportional to 691.65, 953.91 and 495.27

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Solution

The fourth proportional to 691.65, 953.91 and 495.27 is: 683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.65 : 953.91 = 495.27 : x
  2. Step 2: Convert to fraction form
    691.65/953.91 = 495.27/x
  3. Step 3: Cross multiply
    691.65x = 953.91 × 495.27
  4. Step 4: Simplify right side
    691.65x = 472,443.01
  5. Step 5: Solve for x
    x = 472,443.01/691.65
  6. Step 6: Final answer
    x = 683.07

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