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Finding the Fourth Proportional to 1,535.44, 2,302.52 and 670.32

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Solution

The fourth proportional to 1,535.44, 2,302.52 and 670.32 is: 1,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.44 : 2,302.52 = 670.32 : x
  2. Step 2: Convert to fraction form
    1,535.44/2,302.52 = 670.32/x
  3. Step 3: Cross multiply
    1,535.44x = 2,302.52 × 670.32
  4. Step 4: Simplify right side
    1,535.44x = 1,543,425.21
  5. Step 5: Solve for x
    x = 1,543,425.21/1,535.44
  6. Step 6: Final answer
    x = 1,005.20

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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.