Home / 1,503.10-2,254.77-407.44

Finding the Fourth Proportional to 1,503.10, 2,254.77 and 407.44

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Solution

The fourth proportional to 1,503.10, 2,254.77 and 407.44 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.10 : 2,254.77 = 407.44 : x
  2. Step 2: Convert to fraction form
    1,503.10/2,254.77 = 407.44/x
  3. Step 3: Cross multiply
    1,503.10x = 2,254.77 × 407.44
  4. Step 4: Simplify right side
    1,503.10x = 918,683.49
  5. Step 5: Solve for x
    x = 918,683.49/1,503.10
  6. Step 6: Final answer
    x = 611.19

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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.