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Finding the Fourth Proportional to 469.52, 707.46 and 390.14

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Solution

The fourth proportional to 469.52, 707.46 and 390.14 is: 587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.52 : 707.46 = 390.14 : x
  2. Step 2: Convert to fraction form
    469.52/707.46 = 390.14/x
  3. Step 3: Cross multiply
    469.52x = 707.46 × 390.14
  4. Step 4: Simplify right side
    469.52x = 276,008.44
  5. Step 5: Solve for x
    x = 276,008.44/469.52
  6. Step 6: Final answer
    x = 587.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.