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Finding the Fourth Proportional to 985.76, 1,478.88 and 292.45

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Solution

The fourth proportional to 985.76, 1,478.88 and 292.45 is: 438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.76 : 1,478.88 = 292.45 : x
  2. Step 2: Convert to fraction form
    985.76/1,478.88 = 292.45/x
  3. Step 3: Cross multiply
    985.76x = 1,478.88 × 292.45
  4. Step 4: Simplify right side
    985.76x = 432,498.46
  5. Step 5: Solve for x
    x = 432,498.46/985.76
  6. Step 6: Final answer
    x = 438.75

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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.