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Finding the Fourth Proportional to 1,247.53, 1,870.08 and 598.72

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Solution

The fourth proportional to 1,247.53, 1,870.08 and 598.72 is: 897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.53 : 1,870.08 = 598.72 : x
  2. Step 2: Convert to fraction form
    1,247.53/1,870.08 = 598.72/x
  3. Step 3: Cross multiply
    1,247.53x = 1,870.08 × 598.72
  4. Step 4: Simplify right side
    1,247.53x = 1,119,654.30
  5. Step 5: Solve for x
    x = 1,119,654.30/1,247.53
  6. Step 6: Final answer
    x = 897.50

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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.