Home / 1,503.18-2,254.41-407.63

Finding the Fourth Proportional to 1,503.18, 2,254.41 and 407.63

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Solution

The fourth proportional to 1,503.18, 2,254.41 and 407.63 is: 611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.18 : 2,254.41 = 407.63 : x
  2. Step 2: Convert to fraction form
    1,503.18/2,254.41 = 407.63/x
  3. Step 3: Cross multiply
    1,503.18x = 2,254.41 × 407.63
  4. Step 4: Simplify right side
    1,503.18x = 918,970.78
  5. Step 5: Solve for x
    x = 918,970.78/1,503.18
  6. Step 6: Final answer
    x = 611.35

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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.