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Finding the Fourth Proportional to 1,064.19, 1,468.53 and 622.11

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Solution

The fourth proportional to 1,064.19, 1,468.53 and 622.11 is: 858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.19 : 1,468.53 = 622.11 : x
  2. Step 2: Convert to fraction form
    1,064.19/1,468.53 = 622.11/x
  3. Step 3: Cross multiply
    1,064.19x = 1,468.53 × 622.11
  4. Step 4: Simplify right side
    1,064.19x = 913,587.20
  5. Step 5: Solve for x
    x = 913,587.20/1,064.19
  6. Step 6: Final answer
    x = 858.48

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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.