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Finding the Fourth Proportional to 1,065.39, 1,598.15 and 334.99

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Solution

The fourth proportional to 1,065.39, 1,598.15 and 334.99 is: 502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.39 : 1,598.15 = 334.99 : x
  2. Step 2: Convert to fraction form
    1,065.39/1,598.15 = 334.99/x
  3. Step 3: Cross multiply
    1,065.39x = 1,598.15 × 334.99
  4. Step 4: Simplify right side
    1,065.39x = 535,364.27
  5. Step 5: Solve for x
    x = 535,364.27/1,065.39
  6. Step 6: Final answer
    x = 502.51

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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.