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Finding the Fourth Proportional to 1,041.03, 1,560 and 423.98

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Solution

The fourth proportional to 1,041.03, 1,560 and 423.98 is: 635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.03 : 1,560 = 423.98 : x
  2. Step 2: Convert to fraction form
    1,041.03/1,560 = 423.98/x
  3. Step 3: Cross multiply
    1,041.03x = 1,560 × 423.98
  4. Step 4: Simplify right side
    1,041.03x = 661,408.80
  5. Step 5: Solve for x
    x = 661,408.80/1,041.03
  6. Step 6: Final answer
    x = 635.34

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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.