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Finding the Fourth Proportional to 774.51, 1,069.77 and 578.89

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Solution

The fourth proportional to 774.51, 1,069.77 and 578.89 is: 799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.51 : 1,069.77 = 578.89 : x
  2. Step 2: Convert to fraction form
    774.51/1,069.77 = 578.89/x
  3. Step 3: Cross multiply
    774.51x = 1,069.77 × 578.89
  4. Step 4: Simplify right side
    774.51x = 619,279.16
  5. Step 5: Solve for x
    x = 619,279.16/774.51
  6. Step 6: Final answer
    x = 799.58

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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.