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Finding the Fourth Proportional to 756.87, 1,135.30 and 340.23

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Solution

The fourth proportional to 756.87, 1,135.30 and 340.23 is: 510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.87 : 1,135.30 = 340.23 : x
  2. Step 2: Convert to fraction form
    756.87/1,135.30 = 340.23/x
  3. Step 3: Cross multiply
    756.87x = 1,135.30 × 340.23
  4. Step 4: Simplify right side
    756.87x = 386,263.12
  5. Step 5: Solve for x
    x = 386,263.12/756.87
  6. Step 6: Final answer
    x = 510.34

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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.