Home / 1,531.08-2,296.20-435.48

Finding the Fourth Proportional to 1,531.08, 2,296.20 and 435.48

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Solution

The fourth proportional to 1,531.08, 2,296.20 and 435.48 is: 653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.08 : 2,296.20 = 435.48 : x
  2. Step 2: Convert to fraction form
    1,531.08/2,296.20 = 435.48/x
  3. Step 3: Cross multiply
    1,531.08x = 2,296.20 × 435.48
  4. Step 4: Simplify right side
    1,531.08x = 999,949.18
  5. Step 5: Solve for x
    x = 999,949.18/1,531.08
  6. Step 6: Final answer
    x = 653.10

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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.