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Finding the Fourth Proportional to 2,340.68, 3,510.98 and 697.23

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Solution

The fourth proportional to 2,340.68, 3,510.98 and 697.23 is: 1,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.68 : 3,510.98 = 697.23 : x
  2. Step 2: Convert to fraction form
    2,340.68/3,510.98 = 697.23/x
  3. Step 3: Cross multiply
    2,340.68x = 3,510.98 × 697.23
  4. Step 4: Simplify right side
    2,340.68x = 2,447,959.71
  5. Step 5: Solve for x
    x = 2,447,959.71/2,340.68
  6. Step 6: Final answer
    x = 1,045.83

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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.