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Finding the Fourth Proportional to 707.04, 974.69 and 496.58

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Solution

The fourth proportional to 707.04, 974.69 and 496.58 is: 684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 974.69 = 496.58 : x
  2. Step 2: Convert to fraction form
    707.04/974.69 = 496.58/x
  3. Step 3: Cross multiply
    707.04x = 974.69 × 496.58
  4. Step 4: Simplify right side
    707.04x = 484,004.20
  5. Step 5: Solve for x
    x = 484,004.20/707.04
  6. Step 6: Final answer
    x = 684.55

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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.