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Finding the Fourth Proportional to 907, 1,360.98 and 451

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Solution

The fourth proportional to 907, 1,360.98 and 451 is: 676.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    907 : 1,360.98 = 451 : x
  2. Step 2: Convert to fraction form
    907/1,360.98 = 451/x
  3. Step 3: Cross multiply
    907x = 1,360.98 × 451
  4. Step 4: Simplify right side
    907x = 613,801.98
  5. Step 5: Solve for x
    x = 613,801.98/907
  6. Step 6: Final answer
    x = 676.74

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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.