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Finding the Fourth Proportional to 695.55, 1,038.25 and 676.08

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Solution

The fourth proportional to 695.55, 1,038.25 and 676.08 is: 1,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.55 : 1,038.25 = 676.08 : x
  2. Step 2: Convert to fraction form
    695.55/1,038.25 = 676.08/x
  3. Step 3: Cross multiply
    695.55x = 1,038.25 × 676.08
  4. Step 4: Simplify right side
    695.55x = 701,934.87
  5. Step 5: Solve for x
    x = 701,934.87/695.55
  6. Step 6: Final answer
    x = 1,009.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.