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Finding the Fourth Proportional to 621.54, 856.98 and 566.06

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Solution

The fourth proportional to 621.54, 856.98 and 566.06 is: 780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.54 : 856.98 = 566.06 : x
  2. Step 2: Convert to fraction form
    621.54/856.98 = 566.06/x
  3. Step 3: Cross multiply
    621.54x = 856.98 × 566.06
  4. Step 4: Simplify right side
    621.54x = 485,097.81
  5. Step 5: Solve for x
    x = 485,097.81/621.54
  6. Step 6: Final answer
    x = 780.48

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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.