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Finding the Fourth Proportional to 564.78, 840.87 and 556.68

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Solution

The fourth proportional to 564.78, 840.87 and 556.68 is: 828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 840.87 = 556.68 : x
  2. Step 2: Convert to fraction form
    564.78/840.87 = 556.68/x
  3. Step 3: Cross multiply
    564.78x = 840.87 × 556.68
  4. Step 4: Simplify right side
    564.78x = 468,095.51
  5. Step 5: Solve for x
    x = 468,095.51/564.78
  6. Step 6: Final answer
    x = 828.81

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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.