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Finding the Fourth Proportional to 705.68, 972.86 and 506.64

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Solution

The fourth proportional to 705.68, 972.86 and 506.64 is: 698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.68 : 972.86 = 506.64 : x
  2. Step 2: Convert to fraction form
    705.68/972.86 = 506.64/x
  3. Step 3: Cross multiply
    705.68x = 972.86 × 506.64
  4. Step 4: Simplify right side
    705.68x = 492,889.79
  5. Step 5: Solve for x
    x = 492,889.79/705.68
  6. Step 6: Final answer
    x = 698.46

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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.