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Finding the Fourth Proportional to 707.36, 975.41 and 497.47

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Solution

The fourth proportional to 707.36, 975.41 and 497.47 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.36 : 975.41 = 497.47 : x
  2. Step 2: Convert to fraction form
    707.36/975.41 = 497.47/x
  3. Step 3: Cross multiply
    707.36x = 975.41 × 497.47
  4. Step 4: Simplify right side
    707.36x = 485,232.34
  5. Step 5: Solve for x
    x = 485,232.34/707.36
  6. Step 6: Final answer
    x = 685.98

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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.