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Finding the Fourth Proportional to 582.48, 807.06 and 570.12

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Solution

The fourth proportional to 582.48, 807.06 and 570.12 is: 789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 807.06 = 570.12 : x
  2. Step 2: Convert to fraction form
    582.48/807.06 = 570.12/x
  3. Step 3: Cross multiply
    582.48x = 807.06 × 570.12
  4. Step 4: Simplify right side
    582.48x = 460,121.05
  5. Step 5: Solve for x
    x = 460,121.05/582.48
  6. Step 6: Final answer
    x = 789.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.