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Finding the Fourth Proportional to 1,510.77, 2,266.16 and 688.48

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Solution

The fourth proportional to 1,510.77, 2,266.16 and 688.48 is: 1,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.77 : 2,266.16 = 688.48 : x
  2. Step 2: Convert to fraction form
    1,510.77/2,266.16 = 688.48/x
  3. Step 3: Cross multiply
    1,510.77x = 2,266.16 × 688.48
  4. Step 4: Simplify right side
    1,510.77x = 1,560,202.39
  5. Step 5: Solve for x
    x = 1,560,202.39/1,510.77
  6. Step 6: Final answer
    x = 1,032.72

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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.