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Finding the Fourth Proportional to 670.06, 1,000.54 and 576.46

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Solution

The fourth proportional to 670.06, 1,000.54 and 576.46 is: 860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.06 : 1,000.54 = 576.46 : x
  2. Step 2: Convert to fraction form
    670.06/1,000.54 = 576.46/x
  3. Step 3: Cross multiply
    670.06x = 1,000.54 × 576.46
  4. Step 4: Simplify right side
    670.06x = 576,771.29
  5. Step 5: Solve for x
    x = 576,771.29/670.06
  6. Step 6: Final answer
    x = 860.78

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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.