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Finding the Fourth Proportional to 985.48, 1,478.05 and 360.65

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Solution

The fourth proportional to 985.48, 1,478.05 and 360.65 is: 540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.48 : 1,478.05 = 360.65 : x
  2. Step 2: Convert to fraction form
    985.48/1,478.05 = 360.65/x
  3. Step 3: Cross multiply
    985.48x = 1,478.05 × 360.65
  4. Step 4: Simplify right side
    985.48x = 533,058.73
  5. Step 5: Solve for x
    x = 533,058.73/985.48
  6. Step 6: Final answer
    x = 540.91

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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.