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Finding the Fourth Proportional to 774.11, 1,068.96 and 526.35

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Solution

The fourth proportional to 774.11, 1,068.96 and 526.35 is: 726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.11 : 1,068.96 = 526.35 : x
  2. Step 2: Convert to fraction form
    774.11/1,068.96 = 526.35/x
  3. Step 3: Cross multiply
    774.11x = 1,068.96 × 526.35
  4. Step 4: Simplify right side
    774.11x = 562,649.77
  5. Step 5: Solve for x
    x = 562,649.77/774.11
  6. Step 6: Final answer
    x = 726.83

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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.