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Finding the Fourth Proportional to 582.87, 873.14 and 429.20

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Solution

The fourth proportional to 582.87, 873.14 and 429.20 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.87 : 873.14 = 429.20 : x
  2. Step 2: Convert to fraction form
    582.87/873.14 = 429.20/x
  3. Step 3: Cross multiply
    582.87x = 873.14 × 429.20
  4. Step 4: Simplify right side
    582.87x = 374,745.18
  5. Step 5: Solve for x
    x = 374,745.18/582.87
  6. Step 6: Final answer
    x = 642.93

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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.