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Finding the Fourth Proportional to 920.47, 1,378 and 572.69

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Solution

The fourth proportional to 920.47, 1,378 and 572.69 is: 857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.47 : 1,378 = 572.69 : x
  2. Step 2: Convert to fraction form
    920.47/1,378 = 572.69/x
  3. Step 3: Cross multiply
    920.47x = 1,378 × 572.69
  4. Step 4: Simplify right side
    920.47x = 789,166.82
  5. Step 5: Solve for x
    x = 789,166.82/920.47
  6. Step 6: Final answer
    x = 857.35

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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.