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Finding the Fourth Proportional to 707.49, 976.28 and 412.70

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Solution

The fourth proportional to 707.49, 976.28 and 412.70 is: 569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.49 : 976.28 = 412.70 : x
  2. Step 2: Convert to fraction form
    707.49/976.28 = 412.70/x
  3. Step 3: Cross multiply
    707.49x = 976.28 × 412.70
  4. Step 4: Simplify right side
    707.49x = 402,903.81
  5. Step 5: Solve for x
    x = 402,903.81/707.49
  6. Step 6: Final answer
    x = 569.48

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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.