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Finding the Fourth Proportional to 700.56, 1,051.20 and 375.84

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Solution

The fourth proportional to 700.56, 1,051.20 and 375.84 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.56 : 1,051.20 = 375.84 : x
  2. Step 2: Convert to fraction form
    700.56/1,051.20 = 375.84/x
  3. Step 3: Cross multiply
    700.56x = 1,051.20 × 375.84
  4. Step 4: Simplify right side
    700.56x = 395,083.01
  5. Step 5: Solve for x
    x = 395,083.01/700.56
  6. Step 6: Final answer
    x = 563.95

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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.