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Finding the Fourth Proportional to 660.09, 909.86 and 586.29

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Solution

The fourth proportional to 660.09, 909.86 and 586.29 is: 808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.09 : 909.86 = 586.29 : x
  2. Step 2: Convert to fraction form
    660.09/909.86 = 586.29/x
  3. Step 3: Cross multiply
    660.09x = 909.86 × 586.29
  4. Step 4: Simplify right side
    660.09x = 533,438.89
  5. Step 5: Solve for x
    x = 533,438.89/660.09
  6. Step 6: Final answer
    x = 808.13

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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.