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Finding the Fourth Proportional to 623.92, 931.34 and 572.56

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Solution

The fourth proportional to 623.92, 931.34 and 572.56 is: 854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.92 : 931.34 = 572.56 : x
  2. Step 2: Convert to fraction form
    623.92/931.34 = 572.56/x
  3. Step 3: Cross multiply
    623.92x = 931.34 × 572.56
  4. Step 4: Simplify right side
    623.92x = 533,248.03
  5. Step 5: Solve for x
    x = 533,248.03/623.92
  6. Step 6: Final answer
    x = 854.67

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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.