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Finding the Fourth Proportional to 666.58, 1,005.20 and 657.46

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Solution

The fourth proportional to 666.58, 1,005.20 and 657.46 is: 991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.58 : 1,005.20 = 657.46 : x
  2. Step 2: Convert to fraction form
    666.58/1,005.20 = 657.46/x
  3. Step 3: Cross multiply
    666.58x = 1,005.20 × 657.46
  4. Step 4: Simplify right side
    666.58x = 660,878.79
  5. Step 5: Solve for x
    x = 660,878.79/666.58
  6. Step 6: Final answer
    x = 991.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.