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Finding the Fourth Proportional to 707.78, 977.06 and 472.12

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Solution

The fourth proportional to 707.78, 977.06 and 472.12 is: 651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.78 : 977.06 = 472.12 : x
  2. Step 2: Convert to fraction form
    707.78/977.06 = 472.12/x
  3. Step 3: Cross multiply
    707.78x = 977.06 × 472.12
  4. Step 4: Simplify right side
    707.78x = 461,289.57
  5. Step 5: Solve for x
    x = 461,289.57/707.78
  6. Step 6: Final answer
    x = 651.74

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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.