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Finding the Fourth Proportional to 977.52, 1,348.08 and 880.32

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Solution

The fourth proportional to 977.52, 1,348.08 and 880.32 is: 1,214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,348.08 = 880.32 : x
  2. Step 2: Convert to fraction form
    977.52/1,348.08 = 880.32/x
  3. Step 3: Cross multiply
    977.52x = 1,348.08 × 880.32
  4. Step 4: Simplify right side
    977.52x = 1,186,741.79
  5. Step 5: Solve for x
    x = 1,186,741.79/977.52
  6. Step 6: Final answer
    x = 1,214.03

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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.