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Finding the Fourth Proportional to 700.48, 966.72 and 405.76

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Solution

The fourth proportional to 700.48, 966.72 and 405.76 is: 559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.48 : 966.72 = 405.76 : x
  2. Step 2: Convert to fraction form
    700.48/966.72 = 405.76/x
  3. Step 3: Cross multiply
    700.48x = 966.72 × 405.76
  4. Step 4: Simplify right side
    700.48x = 392,256.31
  5. Step 5: Solve for x
    x = 392,256.31/700.48
  6. Step 6: Final answer
    x = 559.98

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