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Finding the Fourth Proportional to 1,503.16, 2,254.90 and 407.54

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Solution

The fourth proportional to 1,503.16, 2,254.90 and 407.54 is: 611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.16 : 2,254.90 = 407.54 : x
  2. Step 2: Convert to fraction form
    1,503.16/2,254.90 = 407.54/x
  3. Step 3: Cross multiply
    1,503.16x = 2,254.90 × 407.54
  4. Step 4: Simplify right side
    1,503.16x = 918,961.95
  5. Step 5: Solve for x
    x = 918,961.95/1,503.16
  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.