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Finding the Fourth Proportional to 1,064.75, 1,597.12 and 334.83

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Solution

The fourth proportional to 1,064.75, 1,597.12 and 334.83 is: 502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.75 : 1,597.12 = 334.83 : x
  2. Step 2: Convert to fraction form
    1,064.75/1,597.12 = 334.83/x
  3. Step 3: Cross multiply
    1,064.75x = 1,597.12 × 334.83
  4. Step 4: Simplify right side
    1,064.75x = 534,768.84
  5. Step 5: Solve for x
    x = 534,768.84/1,064.75
  6. Step 6: Final answer
    x = 502.25

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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.