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Finding the Fourth Proportional to 712.65, 1,064.15 and 609.78

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Solution

The fourth proportional to 712.65, 1,064.15 and 609.78 is: 910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.65 : 1,064.15 = 609.78 : x
  2. Step 2: Convert to fraction form
    712.65/1,064.15 = 609.78/x
  3. Step 3: Cross multiply
    712.65x = 1,064.15 × 609.78
  4. Step 4: Simplify right side
    712.65x = 648,897.39
  5. Step 5: Solve for x
    x = 648,897.39/712.65
  6. Step 6: Final answer
    x = 910.54

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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.