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Finding the Fourth Proportional to 987.99, 1,362.16 and 810.30

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Solution

The fourth proportional to 987.99, 1,362.16 and 810.30 is: 1,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.99 : 1,362.16 = 810.30 : x
  2. Step 2: Convert to fraction form
    987.99/1,362.16 = 810.30/x
  3. Step 3: Cross multiply
    987.99x = 1,362.16 × 810.30
  4. Step 4: Simplify right side
    987.99x = 1,103,758.25
  5. Step 5: Solve for x
    x = 1,103,758.25/987.99
  6. Step 6: Final answer
    x = 1,117.18

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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.