Home / 1,531.77-2,296.23-557.65

Finding the Fourth Proportional to 1,531.77, 2,296.23 and 557.65

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Solution

The fourth proportional to 1,531.77, 2,296.23 and 557.65 is: 835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.77 : 2,296.23 = 557.65 : x
  2. Step 2: Convert to fraction form
    1,531.77/2,296.23 = 557.65/x
  3. Step 3: Cross multiply
    1,531.77x = 2,296.23 × 557.65
  4. Step 4: Simplify right side
    1,531.77x = 1,280,492.66
  5. Step 5: Solve for x
    x = 1,280,492.66/1,531.77
  6. Step 6: Final answer
    x = 835.96

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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.