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Finding the Fourth Proportional to 987.54, 1,362.80 and 594.58

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Solution

The fourth proportional to 987.54, 1,362.80 and 594.58 is: 820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.54 : 1,362.80 = 594.58 : x
  2. Step 2: Convert to fraction form
    987.54/1,362.80 = 594.58/x
  3. Step 3: Cross multiply
    987.54x = 1,362.80 × 594.58
  4. Step 4: Simplify right side
    987.54x = 810,290.65
  5. Step 5: Solve for x
    x = 810,290.65/987.54
  6. Step 6: Final answer
    x = 820.52

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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.