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Finding the Fourth Proportional to 777.54, 1,166.04 and 469.11

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Solution

The fourth proportional to 777.54, 1,166.04 and 469.11 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.54 : 1,166.04 = 469.11 : x
  2. Step 2: Convert to fraction form
    777.54/1,166.04 = 469.11/x
  3. Step 3: Cross multiply
    777.54x = 1,166.04 × 469.11
  4. Step 4: Simplify right side
    777.54x = 547,001.02
  5. Step 5: Solve for x
    x = 547,001.02/777.54
  6. Step 6: Final answer
    x = 703.50

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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.