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Finding the Fourth Proportional to 1,030.64, 1,422.27 and 564.89

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Solution

The fourth proportional to 1,030.64, 1,422.27 and 564.89 is: 779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.64 : 1,422.27 = 564.89 : x
  2. Step 2: Convert to fraction form
    1,030.64/1,422.27 = 564.89/x
  3. Step 3: Cross multiply
    1,030.64x = 1,422.27 × 564.89
  4. Step 4: Simplify right side
    1,030.64x = 803,418.99
  5. Step 5: Solve for x
    x = 803,418.99/1,030.64
  6. Step 6: Final answer
    x = 779.54

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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.