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Finding the Fourth Proportional to 762, 1,050.34 and 602.22

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Solution

The fourth proportional to 762, 1,050.34 and 602.22 is: 830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    762 : 1,050.34 = 602.22 : x
  2. Step 2: Convert to fraction form
    762/1,050.34 = 602.22/x
  3. Step 3: Cross multiply
    762x = 1,050.34 × 602.22
  4. Step 4: Simplify right side
    762x = 632,535.75
  5. Step 5: Solve for x
    x = 632,535.75/762
  6. Step 6: Final answer
    x = 830.10

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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.