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Finding the Fourth Proportional to 475.44, 709.98 and 470.34

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Solution

The fourth proportional to 475.44, 709.98 and 470.34 is: 702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.44 : 709.98 = 470.34 : x
  2. Step 2: Convert to fraction form
    475.44/709.98 = 470.34/x
  3. Step 3: Cross multiply
    475.44x = 709.98 × 470.34
  4. Step 4: Simplify right side
    475.44x = 333,931.99
  5. Step 5: Solve for x
    x = 333,931.99/475.44
  6. Step 6: Final answer
    x = 702.36

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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.