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Finding the Fourth Proportional to 1,001.34, 1,378.59 and 870.30

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Solution

The fourth proportional to 1,001.34, 1,378.59 and 870.30 is: 1,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.34 : 1,378.59 = 870.30 : x
  2. Step 2: Convert to fraction form
    1,001.34/1,378.59 = 870.30/x
  3. Step 3: Cross multiply
    1,001.34x = 1,378.59 × 870.30
  4. Step 4: Simplify right side
    1,001.34x = 1,199,786.88
  5. Step 5: Solve for x
    x = 1,199,786.88/1,001.34
  6. Step 6: Final answer
    x = 1,198.18

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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.