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Finding the Fourth Proportional to 659.73, 909.47 and 410.93

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Solution

The fourth proportional to 659.73, 909.47 and 410.93 is: 566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.73 : 909.47 = 410.93 : x
  2. Step 2: Convert to fraction form
    659.73/909.47 = 410.93/x
  3. Step 3: Cross multiply
    659.73x = 909.47 × 410.93
  4. Step 4: Simplify right side
    659.73x = 373,721.91
  5. Step 5: Solve for x
    x = 373,721.91/659.73
  6. Step 6: Final answer
    x = 566.48

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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.