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Finding the Fourth Proportional to 1,120.76, 1,681.16 and 340.78

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Solution

The fourth proportional to 1,120.76, 1,681.16 and 340.78 is: 511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.76 : 1,681.16 = 340.78 : x
  2. Step 2: Convert to fraction form
    1,120.76/1,681.16 = 340.78/x
  3. Step 3: Cross multiply
    1,120.76x = 1,681.16 × 340.78
  4. Step 4: Simplify right side
    1,120.76x = 572,905.70
  5. Step 5: Solve for x
    x = 572,905.70/1,120.76
  6. Step 6: Final answer
    x = 511.18

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.