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Finding the Fourth Proportional to 700.22, 1,050.11 and 458.03

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Solution

The fourth proportional to 700.22, 1,050.11 and 458.03 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 1,050.11 = 458.03 : x
  2. Step 2: Convert to fraction form
    700.22/1,050.11 = 458.03/x
  3. Step 3: Cross multiply
    700.22x = 1,050.11 × 458.03
  4. Step 4: Simplify right side
    700.22x = 480,974.34
  5. Step 5: Solve for x
    x = 480,974.34/700.22
  6. Step 6: Final answer
    x = 686.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.