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Finding the Fourth Proportional to 750.51, 1,126.67 and 506.30

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Solution

The fourth proportional to 750.51, 1,126.67 and 506.30 is: 760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.51 : 1,126.67 = 506.30 : x
  2. Step 2: Convert to fraction form
    750.51/1,126.67 = 506.30/x
  3. Step 3: Cross multiply
    750.51x = 1,126.67 × 506.30
  4. Step 4: Simplify right side
    750.51x = 570,424.86
  5. Step 5: Solve for x
    x = 570,424.86/750.51
  6. Step 6: Final answer
    x = 760.05

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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.