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Finding the Fourth Proportional to 714.24, 984.78 and 465.46

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Solution

The fourth proportional to 714.24, 984.78 and 465.46 is: 641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.24 : 984.78 = 465.46 : x
  2. Step 2: Convert to fraction form
    714.24/984.78 = 465.46/x
  3. Step 3: Cross multiply
    714.24x = 984.78 × 465.46
  4. Step 4: Simplify right side
    714.24x = 458,373.24
  5. Step 5: Solve for x
    x = 458,373.24/714.24
  6. Step 6: Final answer
    x = 641.76

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1.5x scale

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.