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Finding the Fourth Proportional to 756.32, 1,138.72 and 670.16

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Solution

The fourth proportional to 756.32, 1,138.72 and 670.16 is: 1,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.32 : 1,138.72 = 670.16 : x
  2. Step 2: Convert to fraction form
    756.32/1,138.72 = 670.16/x
  3. Step 3: Cross multiply
    756.32x = 1,138.72 × 670.16
  4. Step 4: Simplify right side
    756.32x = 763,124.60
  5. Step 5: Solve for x
    x = 763,124.60/756.32
  6. Step 6: Final answer
    x = 1,009.00

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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.