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Finding the Fourth Proportional to 1,411.54, 2,117.92 and 589.98

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Solution

The fourth proportional to 1,411.54, 2,117.92 and 589.98 is: 885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.54 : 2,117.92 = 589.98 : x
  2. Step 2: Convert to fraction form
    1,411.54/2,117.92 = 589.98/x
  3. Step 3: Cross multiply
    1,411.54x = 2,117.92 × 589.98
  4. Step 4: Simplify right side
    1,411.54x = 1,249,530.44
  5. Step 5: Solve for x
    x = 1,249,530.44/1,411.54
  6. Step 6: Final answer
    x = 885.22

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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.