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Finding the Fourth Proportional to 659.61, 909.09 and 585.81

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Solution

The fourth proportional to 659.61, 909.09 and 585.81 is: 807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.61 : 909.09 = 585.81 : x
  2. Step 2: Convert to fraction form
    659.61/909.09 = 585.81/x
  3. Step 3: Cross multiply
    659.61x = 909.09 × 585.81
  4. Step 4: Simplify right side
    659.61x = 532,554.01
  5. Step 5: Solve for x
    x = 532,554.01/659.61
  6. Step 6: Final answer
    x = 807.38

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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.