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Finding the Fourth Proportional to 670.27, 1,009.12 and 612.87

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Solution

The fourth proportional to 670.27, 1,009.12 and 612.87 is: 922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.27 : 1,009.12 = 612.87 : x
  2. Step 2: Convert to fraction form
    670.27/1,009.12 = 612.87/x
  3. Step 3: Cross multiply
    670.27x = 1,009.12 × 612.87
  4. Step 4: Simplify right side
    670.27x = 618,459.37
  5. Step 5: Solve for x
    x = 618,459.37/670.27
  6. Step 6: Final answer
    x = 922.70

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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.