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Finding the Fourth Proportional to 756.86, 1,044.86 and 509.48

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Solution

The fourth proportional to 756.86, 1,044.86 and 509.48 is: 703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,044.86 = 509.48 : x
  2. Step 2: Convert to fraction form
    756.86/1,044.86 = 509.48/x
  3. Step 3: Cross multiply
    756.86x = 1,044.86 × 509.48
  4. Step 4: Simplify right side
    756.86x = 532,331.42
  5. Step 5: Solve for x
    x = 532,331.42/756.86
  6. Step 6: Final answer
    x = 703.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.