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Finding the Fourth Proportional to 670.68, 999.54 and 646.92

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Solution

The fourth proportional to 670.68, 999.54 and 646.92 is: 964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.68 : 999.54 = 646.92 : x
  2. Step 2: Convert to fraction form
    670.68/999.54 = 646.92/x
  3. Step 3: Cross multiply
    670.68x = 999.54 × 646.92
  4. Step 4: Simplify right side
    670.68x = 646,622.42
  5. Step 5: Solve for x
    x = 646,622.42/670.68
  6. Step 6: Final answer
    x = 964.13

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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.