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Finding the Fourth Proportional to 666.30, 995.56 and 586.11

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Solution

The fourth proportional to 666.30, 995.56 and 586.11 is: 875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.30 : 995.56 = 586.11 : x
  2. Step 2: Convert to fraction form
    666.30/995.56 = 586.11/x
  3. Step 3: Cross multiply
    666.30x = 995.56 × 586.11
  4. Step 4: Simplify right side
    666.30x = 583,507.67
  5. Step 5: Solve for x
    x = 583,507.67/666.30
  6. Step 6: Final answer
    x = 875.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.