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Finding the Fourth Proportional to 1,066.88, 1,596.20 and 1,064.14

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Solution

The fourth proportional to 1,066.88, 1,596.20 and 1,064.14 is: 1,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.88 : 1,596.20 = 1,064.14 : x
  2. Step 2: Convert to fraction form
    1,066.88/1,596.20 = 1,064.14/x
  3. Step 3: Cross multiply
    1,066.88x = 1,596.20 × 1,064.14
  4. Step 4: Simplify right side
    1,066.88x = 1,698,580.27
  5. Step 5: Solve for x
    x = 1,698,580.27/1,066.88
  6. Step 6: Final answer
    x = 1,592.10

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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.