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Finding the Fourth Proportional to 774.02, 1,159.68 and 403.40

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Solution

The fourth proportional to 774.02, 1,159.68 and 403.40 is: 604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.02 : 1,159.68 = 403.40 : x
  2. Step 2: Convert to fraction form
    774.02/1,159.68 = 403.40/x
  3. Step 3: Cross multiply
    774.02x = 1,159.68 × 403.40
  4. Step 4: Simplify right side
    774.02x = 467,814.91
  5. Step 5: Solve for x
    x = 467,814.91/774.02
  6. Step 6: Final answer
    x = 604.40

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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.