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Finding the Fourth Proportional to 700.76, 1,051.36 and 353.80

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Solution

The fourth proportional to 700.76, 1,051.36 and 353.80 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 1,051.36 = 353.80 : x
  2. Step 2: Convert to fraction form
    700.76/1,051.36 = 353.80/x
  3. Step 3: Cross multiply
    700.76x = 1,051.36 × 353.80
  4. Step 4: Simplify right side
    700.76x = 371,973.59
  5. Step 5: Solve for x
    x = 371,973.59/700.76
  6. Step 6: Final answer
    x = 530.82

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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.