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Finding the Fourth Proportional to 1,140.70, 1,711.06 and 275.02

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Solution

The fourth proportional to 1,140.70, 1,711.06 and 275.02 is: 412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.70 : 1,711.06 = 275.02 : x
  2. Step 2: Convert to fraction form
    1,140.70/1,711.06 = 275.02/x
  3. Step 3: Cross multiply
    1,140.70x = 1,711.06 × 275.02
  4. Step 4: Simplify right side
    1,140.70x = 470,567.03
  5. Step 5: Solve for x
    x = 470,567.03/1,140.70
  6. Step 6: Final answer
    x = 412.52

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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.