Home / 1,521.08-2,281.71-410.66

Finding the Fourth Proportional to 1,521.08, 2,281.71 and 410.66

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Solution

The fourth proportional to 1,521.08, 2,281.71 and 410.66 is: 616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.08 : 2,281.71 = 410.66 : x
  2. Step 2: Convert to fraction form
    1,521.08/2,281.71 = 410.66/x
  3. Step 3: Cross multiply
    1,521.08x = 2,281.71 × 410.66
  4. Step 4: Simplify right side
    1,521.08x = 937,007.03
  5. Step 5: Solve for x
    x = 937,007.03/1,521.08
  6. Step 6: Final answer
    x = 616.01

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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.