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Finding the Fourth Proportional to 1,332.84, 1,989.68 and 1,058.55

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Solution

The fourth proportional to 1,332.84, 1,989.68 and 1,058.55 is: 1,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.84 : 1,989.68 = 1,058.55 : x
  2. Step 2: Convert to fraction form
    1,332.84/1,989.68 = 1,058.55/x
  3. Step 3: Cross multiply
    1,332.84x = 1,989.68 × 1,058.55
  4. Step 4: Simplify right side
    1,332.84x = 2,106,170.47
  5. Step 5: Solve for x
    x = 2,106,170.47/1,332.84
  6. Step 6: Final answer
    x = 1,580.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.