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Finding the Fourth Proportional to 529.27, 789.76 and 526.23

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Solution

The fourth proportional to 529.27, 789.76 and 526.23 is: 785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.27 : 789.76 = 526.23 : x
  2. Step 2: Convert to fraction form
    529.27/789.76 = 526.23/x
  3. Step 3: Cross multiply
    529.27x = 789.76 × 526.23
  4. Step 4: Simplify right side
    529.27x = 415,595.40
  5. Step 5: Solve for x
    x = 415,595.40/529.27
  6. Step 6: Final answer
    x = 785.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.