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Finding the Fourth Proportional to 659.14, 909.73 and 407.13

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Solution

The fourth proportional to 659.14, 909.73 and 407.13 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.14 : 909.73 = 407.13 : x
  2. Step 2: Convert to fraction form
    659.14/909.73 = 407.13/x
  3. Step 3: Cross multiply
    659.14x = 909.73 × 407.13
  4. Step 4: Simplify right side
    659.14x = 370,375.47
  5. Step 5: Solve for x
    x = 370,375.47/659.14
  6. Step 6: Final answer
    x = 561.91

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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.