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Finding the Fourth Proportional to 707.69, 975.08 and 474.41

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Solution

The fourth proportional to 707.69, 975.08 and 474.41 is: 653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.69 : 975.08 = 474.41 : x
  2. Step 2: Convert to fraction form
    707.69/975.08 = 474.41/x
  3. Step 3: Cross multiply
    707.69x = 975.08 × 474.41
  4. Step 4: Simplify right side
    707.69x = 462,580.46
  5. Step 5: Solve for x
    x = 462,580.46/707.69
  6. Step 6: Final answer
    x = 653.65

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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.