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Finding the Fourth Proportional to 570.63, 855.22 and 564.51

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Solution

The fourth proportional to 570.63, 855.22 and 564.51 is: 846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.63 : 855.22 = 564.51 : x
  2. Step 2: Convert to fraction form
    570.63/855.22 = 564.51/x
  3. Step 3: Cross multiply
    570.63x = 855.22 × 564.51
  4. Step 4: Simplify right side
    570.63x = 482,780.24
  5. Step 5: Solve for x
    x = 482,780.24/570.63
  6. Step 6: Final answer
    x = 846.05

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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.