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Finding the Fourth Proportional to 808.58, 1,214.70 and 578.06

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Solution

The fourth proportional to 808.58, 1,214.70 and 578.06 is: 868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.58 : 1,214.70 = 578.06 : x
  2. Step 2: Convert to fraction form
    808.58/1,214.70 = 578.06/x
  3. Step 3: Cross multiply
    808.58x = 1,214.70 × 578.06
  4. Step 4: Simplify right side
    808.58x = 702,169.48
  5. Step 5: Solve for x
    x = 702,169.48/808.58
  6. Step 6: Final answer
    x = 868.40

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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.