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Finding the Fourth Proportional to 1,267.04, 1,899.48 and 497

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Solution

The fourth proportional to 1,267.04, 1,899.48 and 497 is: 745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.04 : 1,899.48 = 497 : x
  2. Step 2: Convert to fraction form
    1,267.04/1,899.48 = 497/x
  3. Step 3: Cross multiply
    1,267.04x = 1,899.48 × 497
  4. Step 4: Simplify right side
    1,267.04x = 944,041.56
  5. Step 5: Solve for x
    x = 944,041.56/1,267.04
  6. Step 6: Final answer
    x = 745.08

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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.