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Finding the Fourth Proportional to 670.86, 1,008.05 and 362.92

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Solution

The fourth proportional to 670.86, 1,008.05 and 362.92 is: 545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.86 : 1,008.05 = 362.92 : x
  2. Step 2: Convert to fraction form
    670.86/1,008.05 = 362.92/x
  3. Step 3: Cross multiply
    670.86x = 1,008.05 × 362.92
  4. Step 4: Simplify right side
    670.86x = 365,841.51
  5. Step 5: Solve for x
    x = 365,841.51/670.86
  6. Step 6: Final answer
    x = 545.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.