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Finding the Fourth Proportional to 656.43, 979.84 and 578.59

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Solution

The fourth proportional to 656.43, 979.84 and 578.59 is: 863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.43 : 979.84 = 578.59 : x
  2. Step 2: Convert to fraction form
    656.43/979.84 = 578.59/x
  3. Step 3: Cross multiply
    656.43x = 979.84 × 578.59
  4. Step 4: Simplify right side
    656.43x = 566,925.53
  5. Step 5: Solve for x
    x = 566,925.53/656.43
  6. Step 6: Final answer
    x = 863.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.