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Finding the Fourth Proportional to 1,256.03, 1,731.74 and 807.10

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Solution

The fourth proportional to 1,256.03, 1,731.74 and 807.10 is: 1,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.03 : 1,731.74 = 807.10 : x
  2. Step 2: Convert to fraction form
    1,256.03/1,731.74 = 807.10/x
  3. Step 3: Cross multiply
    1,256.03x = 1,731.74 × 807.10
  4. Step 4: Simplify right side
    1,256.03x = 1,397,678.99
  5. Step 5: Solve for x
    x = 1,397,678.99/1,256.03
  6. Step 6: Final answer
    x = 1,112.78

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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.