Home / 1,148.10-1,722.38-532.23

Finding the Fourth Proportional to 1,148.10, 1,722.38 and 532.23

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Solution

The fourth proportional to 1,148.10, 1,722.38 and 532.23 is: 798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.10 : 1,722.38 = 532.23 : x
  2. Step 2: Convert to fraction form
    1,148.10/1,722.38 = 532.23/x
  3. Step 3: Cross multiply
    1,148.10x = 1,722.38 × 532.23
  4. Step 4: Simplify right side
    1,148.10x = 916,699.65
  5. Step 5: Solve for x
    x = 916,699.65/1,148.10
  6. Step 6: Final answer
    x = 798.45

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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.