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Finding the Fourth Proportional to 647, 971.30 and 612.98

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Solution

The fourth proportional to 647, 971.30 and 612.98 is: 920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 971.30 = 612.98 : x
  2. Step 2: Convert to fraction form
    647/971.30 = 612.98/x
  3. Step 3: Cross multiply
    647x = 971.30 × 612.98
  4. Step 4: Simplify right side
    647x = 595,387.47
  5. Step 5: Solve for x
    x = 595,387.47/647
  6. Step 6: Final answer
    x = 920.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.