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Finding the Fourth Proportional to 987.35, 1,486.87 and 715.34

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Solution

The fourth proportional to 987.35, 1,486.87 and 715.34 is: 1,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.35 : 1,486.87 = 715.34 : x
  2. Step 2: Convert to fraction form
    987.35/1,486.87 = 715.34/x
  3. Step 3: Cross multiply
    987.35x = 1,486.87 × 715.34
  4. Step 4: Simplify right side
    987.35x = 1,063,619.51
  5. Step 5: Solve for x
    x = 1,063,619.51/987.35
  6. Step 6: Final answer
    x = 1,077.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.