Home / 1,503.17-2,254.75-407.53

Finding the Fourth Proportional to 1,503.17, 2,254.75 and 407.53

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Solution

The fourth proportional to 1,503.17, 2,254.75 and 407.53 is: 611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.17 : 2,254.75 = 407.53 : x
  2. Step 2: Convert to fraction form
    1,503.17/2,254.75 = 407.53/x
  3. Step 3: Cross multiply
    1,503.17x = 2,254.75 × 407.53
  4. Step 4: Simplify right side
    1,503.17x = 918,876.23
  5. Step 5: Solve for x
    x = 918,876.23/1,503.17
  6. Step 6: Final answer
    x = 611.29

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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.