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Finding the Fourth Proportional to 987.65, 1,478.26 and 727.55

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Solution

The fourth proportional to 987.65, 1,478.26 and 727.55 is: 1,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.65 : 1,478.26 = 727.55 : x
  2. Step 2: Convert to fraction form
    987.65/1,478.26 = 727.55/x
  3. Step 3: Cross multiply
    987.65x = 1,478.26 × 727.55
  4. Step 4: Simplify right side
    987.65x = 1,075,509.88
  5. Step 5: Solve for x
    x = 1,075,509.88/987.65
  6. Step 6: Final answer
    x = 1,088.96

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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.