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Finding the Fourth Proportional to 872.98, 1,205.49 and 651.55

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Solution

The fourth proportional to 872.98, 1,205.49 and 651.55 is: 899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.98 : 1,205.49 = 651.55 : x
  2. Step 2: Convert to fraction form
    872.98/1,205.49 = 651.55/x
  3. Step 3: Cross multiply
    872.98x = 1,205.49 × 651.55
  4. Step 4: Simplify right side
    872.98x = 785,437.01
  5. Step 5: Solve for x
    x = 785,437.01/872.98
  6. Step 6: Final answer
    x = 899.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.