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Finding the Fourth Proportional to 695.19, 1,038.80 and 529.74

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Solution

The fourth proportional to 695.19, 1,038.80 and 529.74 is: 791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.19 : 1,038.80 = 529.74 : x
  2. Step 2: Convert to fraction form
    695.19/1,038.80 = 529.74/x
  3. Step 3: Cross multiply
    695.19x = 1,038.80 × 529.74
  4. Step 4: Simplify right side
    695.19x = 550,293.91
  5. Step 5: Solve for x
    x = 550,293.91/695.19
  6. Step 6: Final answer
    x = 791.57

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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.