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Finding the Fourth Proportional to 1,567.05, 2,350.23 and 689.55

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Solution

The fourth proportional to 1,567.05, 2,350.23 and 689.55 is: 1,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.05 : 2,350.23 = 689.55 : x
  2. Step 2: Convert to fraction form
    1,567.05/2,350.23 = 689.55/x
  3. Step 3: Cross multiply
    1,567.05x = 2,350.23 × 689.55
  4. Step 4: Simplify right side
    1,567.05x = 1,620,601.10
  5. Step 5: Solve for x
    x = 1,620,601.10/1,567.05
  6. Step 6: Final answer
    x = 1,034.17

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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.