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Finding the Fourth Proportional to 985.86, 1,478.77 and 292.53

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Solution

The fourth proportional to 985.86, 1,478.77 and 292.53 is: 438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.86 : 1,478.77 = 292.53 : x
  2. Step 2: Convert to fraction form
    985.86/1,478.77 = 292.53/x
  3. Step 3: Cross multiply
    985.86x = 1,478.77 × 292.53
  4. Step 4: Simplify right side
    985.86x = 432,577.19
  5. Step 5: Solve for x
    x = 432,577.19/985.86
  6. Step 6: Final answer
    x = 438.78

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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.