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Finding the Fourth Proportional to 1,458.20, 2,013.06 and 988.58

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Solution

The fourth proportional to 1,458.20, 2,013.06 and 988.58 is: 1,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.20 : 2,013.06 = 988.58 : x
  2. Step 2: Convert to fraction form
    1,458.20/2,013.06 = 988.58/x
  3. Step 3: Cross multiply
    1,458.20x = 2,013.06 × 988.58
  4. Step 4: Simplify right side
    1,458.20x = 1,990,055.85
  5. Step 5: Solve for x
    x = 1,990,055.85/1,458.20
  6. Step 6: Final answer
    x = 1,364.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.