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Finding the Fourth Proportional to 987.68, 1,482.48 and 730.40

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Solution

The fourth proportional to 987.68, 1,482.48 and 730.40 is: 1,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.68 : 1,482.48 = 730.40 : x
  2. Step 2: Convert to fraction form
    987.68/1,482.48 = 730.40/x
  3. Step 3: Cross multiply
    987.68x = 1,482.48 × 730.40
  4. Step 4: Simplify right side
    987.68x = 1,082,803.39
  5. Step 5: Solve for x
    x = 1,082,803.39/987.68
  6. Step 6: Final answer
    x = 1,096.31

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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.