Home / 1,531.02-2,296.20-435.36

Finding the Fourth Proportional to 1,531.02, 2,296.20 and 435.36

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Solution

The fourth proportional to 1,531.02, 2,296.20 and 435.36 is: 652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.02 : 2,296.20 = 435.36 : x
  2. Step 2: Convert to fraction form
    1,531.02/2,296.20 = 435.36/x
  3. Step 3: Cross multiply
    1,531.02x = 2,296.20 × 435.36
  4. Step 4: Simplify right side
    1,531.02x = 999,673.63
  5. Step 5: Solve for x
    x = 999,673.63/1,531.02
  6. Step 6: Final answer
    x = 652.95

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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.