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Finding the Fourth Proportional to 694.17, 1,036.17 and 612.17

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Solution

The fourth proportional to 694.17, 1,036.17 and 612.17 is: 913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.17 : 1,036.17 = 612.17 : x
  2. Step 2: Convert to fraction form
    694.17/1,036.17 = 612.17/x
  3. Step 3: Cross multiply
    694.17x = 1,036.17 × 612.17
  4. Step 4: Simplify right side
    694.17x = 634,307.01
  5. Step 5: Solve for x
    x = 634,307.01/694.17
  6. Step 6: Final answer
    x = 913.76

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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.