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Finding the Fourth Proportional to 700.08, 1,049.10 and 623.20

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Solution

The fourth proportional to 700.08, 1,049.10 and 623.20 is: 933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.08 : 1,049.10 = 623.20 : x
  2. Step 2: Convert to fraction form
    700.08/1,049.10 = 623.20/x
  3. Step 3: Cross multiply
    700.08x = 1,049.10 × 623.20
  4. Step 4: Simplify right side
    700.08x = 653,795.47
  5. Step 5: Solve for x
    x = 653,795.47/700.08
  6. Step 6: Final answer
    x = 933.89

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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.