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Finding the Fourth Proportional to 700.20, 1,051.02 and 547.74

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Solution

The fourth proportional to 700.20, 1,051.02 and 547.74 is: 822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.20 : 1,051.02 = 547.74 : x
  2. Step 2: Convert to fraction form
    700.20/1,051.02 = 547.74/x
  3. Step 3: Cross multiply
    700.20x = 1,051.02 × 547.74
  4. Step 4: Simplify right side
    700.20x = 575,685.69
  5. Step 5: Solve for x
    x = 575,685.69/700.20
  6. Step 6: Final answer
    x = 822.17

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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.