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Finding the Fourth Proportional to 659.41, 909.86 and 407.47

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Solution

The fourth proportional to 659.41, 909.86 and 407.47 is: 562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.41 : 909.86 = 407.47 : x
  2. Step 2: Convert to fraction form
    659.41/909.86 = 407.47/x
  3. Step 3: Cross multiply
    659.41x = 909.86 × 407.47
  4. Step 4: Simplify right side
    659.41x = 370,743.95
  5. Step 5: Solve for x
    x = 370,743.95/659.41
  6. Step 6: Final answer
    x = 562.24

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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.