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Finding the Fourth Proportional to 1,242.06, 1,712.07 and 1,159.38

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Solution

The fourth proportional to 1,242.06, 1,712.07 and 1,159.38 is: 1,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.06 : 1,712.07 = 1,159.38 : x
  2. Step 2: Convert to fraction form
    1,242.06/1,712.07 = 1,159.38/x
  3. Step 3: Cross multiply
    1,242.06x = 1,712.07 × 1,159.38
  4. Step 4: Simplify right side
    1,242.06x = 1,984,939.72
  5. Step 5: Solve for x
    x = 1,984,939.72/1,242.06
  6. Step 6: Final answer
    x = 1,598.10

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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.