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Finding the Fourth Proportional to 1,500.52, 2,251 and 526.40

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Solution

The fourth proportional to 1,500.52, 2,251 and 526.40 is: 789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.52 : 2,251 = 526.40 : x
  2. Step 2: Convert to fraction form
    1,500.52/2,251 = 526.40/x
  3. Step 3: Cross multiply
    1,500.52x = 2,251 × 526.40
  4. Step 4: Simplify right side
    1,500.52x = 1,184,926.40
  5. Step 5: Solve for x
    x = 1,184,926.40/1,500.52
  6. Step 6: Final answer
    x = 789.68

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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.