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Finding the Fourth Proportional to 459.71, 688.33 and 264.53

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Solution

The fourth proportional to 459.71, 688.33 and 264.53 is: 396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.71 : 688.33 = 264.53 : x
  2. Step 2: Convert to fraction form
    459.71/688.33 = 264.53/x
  3. Step 3: Cross multiply
    459.71x = 688.33 × 264.53
  4. Step 4: Simplify right side
    459.71x = 182,085.99
  5. Step 5: Solve for x
    x = 182,085.99/459.71
  6. Step 6: Final answer
    x = 396.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.