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Finding the Fourth Proportional to 1,411.68, 2,117.85 and 589.49

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Solution

The fourth proportional to 1,411.68, 2,117.85 and 589.49 is: 884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.68 : 2,117.85 = 589.49 : x
  2. Step 2: Convert to fraction form
    1,411.68/2,117.85 = 589.49/x
  3. Step 3: Cross multiply
    1,411.68x = 2,117.85 × 589.49
  4. Step 4: Simplify right side
    1,411.68x = 1,248,458.45
  5. Step 5: Solve for x
    x = 1,248,458.45/1,411.68
  6. Step 6: Final answer
    x = 884.38

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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.