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Finding the Fourth Proportional to 1,135.92, 1,703.68 and 302.99

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Solution

The fourth proportional to 1,135.92, 1,703.68 and 302.99 is: 454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.92 : 1,703.68 = 302.99 : x
  2. Step 2: Convert to fraction form
    1,135.92/1,703.68 = 302.99/x
  3. Step 3: Cross multiply
    1,135.92x = 1,703.68 × 302.99
  4. Step 4: Simplify right side
    1,135.92x = 516,196.71
  5. Step 5: Solve for x
    x = 516,196.71/1,135.92
  6. Step 6: Final answer
    x = 454.43

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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.