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Finding the Fourth Proportional to 1,475.04, 2,211.73 and 652.88

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Solution

The fourth proportional to 1,475.04, 2,211.73 and 652.88 is: 978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.04 : 2,211.73 = 652.88 : x
  2. Step 2: Convert to fraction form
    1,475.04/2,211.73 = 652.88/x
  3. Step 3: Cross multiply
    1,475.04x = 2,211.73 × 652.88
  4. Step 4: Simplify right side
    1,475.04x = 1,443,994.28
  5. Step 5: Solve for x
    x = 1,443,994.28/1,475.04
  6. Step 6: Final answer
    x = 978.95

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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.