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Finding the Fourth Proportional to 707, 975.87 and 497.23

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Solution

The fourth proportional to 707, 975.87 and 497.23 is: 686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    707 : 975.87 = 497.23 : x
  2. Step 2: Convert to fraction form
    707/975.87 = 497.23/x
  3. Step 3: Cross multiply
    707x = 975.87 × 497.23
  4. Step 4: Simplify right side
    707x = 485,231.84
  5. Step 5: Solve for x
    x = 485,231.84/707
  6. Step 6: Final answer
    x = 686.33

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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.