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Finding the Fourth Proportional to 938.23, 1,404.84 and 526.20

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Solution

The fourth proportional to 938.23, 1,404.84 and 526.20 is: 787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.23 : 1,404.84 = 526.20 : x
  2. Step 2: Convert to fraction form
    938.23/1,404.84 = 526.20/x
  3. Step 3: Cross multiply
    938.23x = 1,404.84 × 526.20
  4. Step 4: Simplify right side
    938.23x = 739,226.81
  5. Step 5: Solve for x
    x = 739,226.81/938.23
  6. Step 6: Final answer
    x = 787.90

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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.