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Finding the Fourth Proportional to 1,224.50, 1,689.96 and 832.32

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Solution

The fourth proportional to 1,224.50, 1,689.96 and 832.32 is: 1,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.50 : 1,689.96 = 832.32 : x
  2. Step 2: Convert to fraction form
    1,224.50/1,689.96 = 832.32/x
  3. Step 3: Cross multiply
    1,224.50x = 1,689.96 × 832.32
  4. Step 4: Simplify right side
    1,224.50x = 1,406,587.51
  5. Step 5: Solve for x
    x = 1,406,587.51/1,224.50
  6. Step 6: Final answer
    x = 1,148.70

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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.