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Finding the Fourth Proportional to 1,064.68, 1,596.75 and 334.42

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Solution

The fourth proportional to 1,064.68, 1,596.75 and 334.42 is: 501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.68 : 1,596.75 = 334.42 : x
  2. Step 2: Convert to fraction form
    1,064.68/1,596.75 = 334.42/x
  3. Step 3: Cross multiply
    1,064.68x = 1,596.75 × 334.42
  4. Step 4: Simplify right side
    1,064.68x = 533,985.14
  5. Step 5: Solve for x
    x = 533,985.14/1,064.68
  6. Step 6: Final answer
    x = 501.55

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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.