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Finding the Fourth Proportional to 582.76, 870.81 and 443.17

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Solution

The fourth proportional to 582.76, 870.81 and 443.17 is: 662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 870.81 = 443.17 : x
  2. Step 2: Convert to fraction form
    582.76/870.81 = 443.17/x
  3. Step 3: Cross multiply
    582.76x = 870.81 × 443.17
  4. Step 4: Simplify right side
    582.76x = 385,916.87
  5. Step 5: Solve for x
    x = 385,916.87/582.76
  6. Step 6: Final answer
    x = 662.22

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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.