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Finding the Fourth Proportional to 694.10, 1,036.32 and 624.98

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Solution

The fourth proportional to 694.10, 1,036.32 and 624.98 is: 933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.10 : 1,036.32 = 624.98 : x
  2. Step 2: Convert to fraction form
    694.10/1,036.32 = 624.98/x
  3. Step 3: Cross multiply
    694.10x = 1,036.32 × 624.98
  4. Step 4: Simplify right side
    694.10x = 647,679.27
  5. Step 5: Solve for x
    x = 647,679.27/694.10
  6. Step 6: Final answer
    x = 933.12

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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.