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Finding the Fourth Proportional to 700.76, 967.14 and 406.12

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Solution

The fourth proportional to 700.76, 967.14 and 406.12 is: 560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.76 : 967.14 = 406.12 : x
  2. Step 2: Convert to fraction form
    700.76/967.14 = 406.12/x
  3. Step 3: Cross multiply
    700.76x = 967.14 × 406.12
  4. Step 4: Simplify right side
    700.76x = 392,774.90
  5. Step 5: Solve for x
    x = 392,774.90/700.76
  6. Step 6: Final answer
    x = 560.50

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Find fourth proportional to 350.38, 483.57 and 203.06
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.