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Finding the Fourth Proportional to 614.75, 921.20 and 526.37

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Solution

The fourth proportional to 614.75, 921.20 and 526.37 is: 788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 921.20 = 526.37 : x
  2. Step 2: Convert to fraction form
    614.75/921.20 = 526.37/x
  3. Step 3: Cross multiply
    614.75x = 921.20 × 526.37
  4. Step 4: Simplify right side
    614.75x = 484,892.04
  5. Step 5: Solve for x
    x = 484,892.04/614.75
  6. Step 6: Final answer
    x = 788.77

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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.