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Finding the Fourth Proportional to 578.24, 866.88 and 464

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Solution

The fourth proportional to 578.24, 866.88 and 464 is: 695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.24 : 866.88 = 464 : x
  2. Step 2: Convert to fraction form
    578.24/866.88 = 464/x
  3. Step 3: Cross multiply
    578.24x = 866.88 × 464
  4. Step 4: Simplify right side
    578.24x = 402,232.32
  5. Step 5: Solve for x
    x = 402,232.32/578.24
  6. Step 6: Final answer
    x = 695.61

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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.