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Finding the Fourth Proportional to 478.34, 659.54 and 312.49

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Solution

The fourth proportional to 478.34, 659.54 and 312.49 is: 430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.34 : 659.54 = 312.49 : x
  2. Step 2: Convert to fraction form
    478.34/659.54 = 312.49/x
  3. Step 3: Cross multiply
    478.34x = 659.54 × 312.49
  4. Step 4: Simplify right side
    478.34x = 206,101.26
  5. Step 5: Solve for x
    x = 206,101.26/478.34
  6. Step 6: Final answer
    x = 430.87

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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.