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Finding the Fourth Proportional to 690.98, 1,036.31 and 417.15

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Solution

The fourth proportional to 690.98, 1,036.31 and 417.15 is: 625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 1,036.31 = 417.15 : x
  2. Step 2: Convert to fraction form
    690.98/1,036.31 = 417.15/x
  3. Step 3: Cross multiply
    690.98x = 1,036.31 × 417.15
  4. Step 4: Simplify right side
    690.98x = 432,296.72
  5. Step 5: Solve for x
    x = 432,296.72/690.98
  6. Step 6: Final answer
    x = 625.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.