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Finding the Fourth Proportional to 1,759.80, 2,642.10 and 894.72

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Solution

The fourth proportional to 1,759.80, 2,642.10 and 894.72 is: 1,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.80 : 2,642.10 = 894.72 : x
  2. Step 2: Convert to fraction form
    1,759.80/2,642.10 = 894.72/x
  3. Step 3: Cross multiply
    1,759.80x = 2,642.10 × 894.72
  4. Step 4: Simplify right side
    1,759.80x = 2,363,939.71
  5. Step 5: Solve for x
    x = 2,363,939.71/1,759.80
  6. Step 6: Final answer
    x = 1,343.30

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1.5x scale

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.