Home / 1,148.32-1,721.46-417.70

Finding the Fourth Proportional to 1,148.32, 1,721.46 and 417.70

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Solution

The fourth proportional to 1,148.32, 1,721.46 and 417.70 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.32 : 1,721.46 = 417.70 : x
  2. Step 2: Convert to fraction form
    1,148.32/1,721.46 = 417.70/x
  3. Step 3: Cross multiply
    1,148.32x = 1,721.46 × 417.70
  4. Step 4: Simplify right side
    1,148.32x = 719,053.84
  5. Step 5: Solve for x
    x = 719,053.84/1,148.32
  6. Step 6: Final answer
    x = 626.18

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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.