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Finding the Fourth Proportional to 1,114.20, 1,536.75 and 988.34

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Solution

The fourth proportional to 1,114.20, 1,536.75 and 988.34 is: 1,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.20 : 1,536.75 = 988.34 : x
  2. Step 2: Convert to fraction form
    1,114.20/1,536.75 = 988.34/x
  3. Step 3: Cross multiply
    1,114.20x = 1,536.75 × 988.34
  4. Step 4: Simplify right side
    1,114.20x = 1,518,823.81
  5. Step 5: Solve for x
    x = 1,518,823.81/1,114.20
  6. Step 6: Final answer
    x = 1,363.15

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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.