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Finding the Fourth Proportional to 572.42, 854.02 and 520.46

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Solution

The fourth proportional to 572.42, 854.02 and 520.46 is: 776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 854.02 = 520.46 : x
  2. Step 2: Convert to fraction form
    572.42/854.02 = 520.46/x
  3. Step 3: Cross multiply
    572.42x = 854.02 × 520.46
  4. Step 4: Simplify right side
    572.42x = 444,483.25
  5. Step 5: Solve for x
    x = 444,483.25/572.42
  6. Step 6: Final answer
    x = 776.50

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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.