Home / 1,531.23-2,296.50-435.30

Finding the Fourth Proportional to 1,531.23, 2,296.50 and 435.30

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Solution

The fourth proportional to 1,531.23, 2,296.50 and 435.30 is: 652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.23 : 2,296.50 = 435.30 : x
  2. Step 2: Convert to fraction form
    1,531.23/2,296.50 = 435.30/x
  3. Step 3: Cross multiply
    1,531.23x = 2,296.50 × 435.30
  4. Step 4: Simplify right side
    1,531.23x = 999,666.45
  5. Step 5: Solve for x
    x = 999,666.45/1,531.23
  6. Step 6: Final answer
    x = 652.85

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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.