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Finding the Fourth Proportional to 910.20, 1,257.42 and 841.08

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Solution

The fourth proportional to 910.20, 1,257.42 and 841.08 is: 1,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.20 : 1,257.42 = 841.08 : x
  2. Step 2: Convert to fraction form
    910.20/1,257.42 = 841.08/x
  3. Step 3: Cross multiply
    910.20x = 1,257.42 × 841.08
  4. Step 4: Simplify right side
    910.20x = 1,057,590.81
  5. Step 5: Solve for x
    x = 1,057,590.81/910.20
  6. Step 6: Final answer
    x = 1,161.93

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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.