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Finding the Fourth Proportional to 1,064.96, 1,597.33 and 334.14

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Solution

The fourth proportional to 1,064.96, 1,597.33 and 334.14 is: 501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.96 : 1,597.33 = 334.14 : x
  2. Step 2: Convert to fraction form
    1,064.96/1,597.33 = 334.14/x
  3. Step 3: Cross multiply
    1,064.96x = 1,597.33 × 334.14
  4. Step 4: Simplify right side
    1,064.96x = 533,726.27
  5. Step 5: Solve for x
    x = 533,726.27/1,064.96
  6. Step 6: Final answer
    x = 501.17

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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.