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Finding the Fourth Proportional to 566.23, 780.57 and 400.15

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Solution

The fourth proportional to 566.23, 780.57 and 400.15 is: 551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.23 : 780.57 = 400.15 : x
  2. Step 2: Convert to fraction form
    566.23/780.57 = 400.15/x
  3. Step 3: Cross multiply
    566.23x = 780.57 × 400.15
  4. Step 4: Simplify right side
    566.23x = 312,345.09
  5. Step 5: Solve for x
    x = 312,345.09/566.23
  6. Step 6: Final answer
    x = 551.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.