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Finding the Fourth Proportional to 750.02, 1,036.22 and 709.02

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Solution

The fourth proportional to 750.02, 1,036.22 and 709.02 is: 979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.02 : 1,036.22 = 709.02 : x
  2. Step 2: Convert to fraction form
    750.02/1,036.22 = 709.02/x
  3. Step 3: Cross multiply
    750.02x = 1,036.22 × 709.02
  4. Step 4: Simplify right side
    750.02x = 734,697.16
  5. Step 5: Solve for x
    x = 734,697.16/750.02
  6. Step 6: Final answer
    x = 979.58

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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.