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Finding the Fourth Proportional to 700.29, 1,056.33 and 678.42

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Solution

The fourth proportional to 700.29, 1,056.33 and 678.42 is: 1,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.29 : 1,056.33 = 678.42 : x
  2. Step 2: Convert to fraction form
    700.29/1,056.33 = 678.42/x
  3. Step 3: Cross multiply
    700.29x = 1,056.33 × 678.42
  4. Step 4: Simplify right side
    700.29x = 716,635.40
  5. Step 5: Solve for x
    x = 716,635.40/700.29
  6. Step 6: Final answer
    x = 1,023.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.