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Finding the Fourth Proportional to 774.08, 1,068.65 and 596.65

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Solution

The fourth proportional to 774.08, 1,068.65 and 596.65 is: 823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.08 : 1,068.65 = 596.65 : x
  2. Step 2: Convert to fraction form
    774.08/1,068.65 = 596.65/x
  3. Step 3: Cross multiply
    774.08x = 1,068.65 × 596.65
  4. Step 4: Simplify right side
    774.08x = 637,609.71
  5. Step 5: Solve for x
    x = 637,609.71/774.08
  6. Step 6: Final answer
    x = 823.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.