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Finding the Fourth Proportional to 1,088.70, 1,642.07 and 1,016.70

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Solution

The fourth proportional to 1,088.70, 1,642.07 and 1,016.70 is: 1,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.70 : 1,642.07 = 1,016.70 : x
  2. Step 2: Convert to fraction form
    1,088.70/1,642.07 = 1,016.70/x
  3. Step 3: Cross multiply
    1,088.70x = 1,642.07 × 1,016.70
  4. Step 4: Simplify right side
    1,088.70x = 1,669,487.49
  5. Step 5: Solve for x
    x = 1,669,487.49/1,088.70
  6. Step 6: Final answer
    x = 1,533.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.