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Finding the Fourth Proportional to 707.11, 975.45 and 613.72

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Solution

The fourth proportional to 707.11, 975.45 and 613.72 is: 846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.11 : 975.45 = 613.72 : x
  2. Step 2: Convert to fraction form
    707.11/975.45 = 613.72/x
  3. Step 3: Cross multiply
    707.11x = 975.45 × 613.72
  4. Step 4: Simplify right side
    707.11x = 598,653.17
  5. Step 5: Solve for x
    x = 598,653.17/707.11
  6. Step 6: Final answer
    x = 846.62

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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.