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Finding the Fourth Proportional to 777.81, 1,072.62 and 526.29

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Solution

The fourth proportional to 777.81, 1,072.62 and 526.29 is: 725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.81 : 1,072.62 = 526.29 : x
  2. Step 2: Convert to fraction form
    777.81/1,072.62 = 526.29/x
  3. Step 3: Cross multiply
    777.81x = 1,072.62 × 526.29
  4. Step 4: Simplify right side
    777.81x = 564,509.18
  5. Step 5: Solve for x
    x = 564,509.18/777.81
  6. Step 6: Final answer
    x = 725.77

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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.