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Finding the Fourth Proportional to 660.47, 913.18 and 578.45

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Solution

The fourth proportional to 660.47, 913.18 and 578.45 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.47 : 913.18 = 578.45 : x
  2. Step 2: Convert to fraction form
    660.47/913.18 = 578.45/x
  3. Step 3: Cross multiply
    660.47x = 913.18 × 578.45
  4. Step 4: Simplify right side
    660.47x = 528,228.97
  5. Step 5: Solve for x
    x = 528,228.97/660.47
  6. Step 6: Final answer
    x = 799.78

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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.