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Finding the Fourth Proportional to 987.67, 1,364.16 and 740.08

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Solution

The fourth proportional to 987.67, 1,364.16 and 740.08 is: 1,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.67 : 1,364.16 = 740.08 : x
  2. Step 2: Convert to fraction form
    987.67/1,364.16 = 740.08/x
  3. Step 3: Cross multiply
    987.67x = 1,364.16 × 740.08
  4. Step 4: Simplify right side
    987.67x = 1,009,587.53
  5. Step 5: Solve for x
    x = 1,009,587.53/987.67
  6. Step 6: Final answer
    x = 1,022.19

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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.