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Finding the Fourth Proportional to 988.28, 1,482.08 and 501.20

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Solution

The fourth proportional to 988.28, 1,482.08 and 501.20 is: 751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.28 : 1,482.08 = 501.20 : x
  2. Step 2: Convert to fraction form
    988.28/1,482.08 = 501.20/x
  3. Step 3: Cross multiply
    988.28x = 1,482.08 × 501.20
  4. Step 4: Simplify right side
    988.28x = 742,808.58
  5. Step 5: Solve for x
    x = 742,808.58/988.28
  6. Step 6: Final answer
    x = 751.62

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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.