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Finding the Fourth Proportional to 1,510.22, 2,265.34 and 677

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Solution

The fourth proportional to 1,510.22, 2,265.34 and 677 is: 1,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.22 : 2,265.34 = 677 : x
  2. Step 2: Convert to fraction form
    1,510.22/2,265.34 = 677/x
  3. Step 3: Cross multiply
    1,510.22x = 2,265.34 × 677
  4. Step 4: Simplify right side
    1,510.22x = 1,533,635.18
  5. Step 5: Solve for x
    x = 1,533,635.18/1,510.22
  6. Step 6: Final answer
    x = 1,015.50

Related Problems

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Double scale
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Similar ratio
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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.