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Finding the Fourth Proportional to 647.39, 975.74 and 612.20

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Solution

The fourth proportional to 647.39, 975.74 and 612.20 is: 922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.39 : 975.74 = 612.20 : x
  2. Step 2: Convert to fraction form
    647.39/975.74 = 612.20/x
  3. Step 3: Cross multiply
    647.39x = 975.74 × 612.20
  4. Step 4: Simplify right side
    647.39x = 597,348.03
  5. Step 5: Solve for x
    x = 597,348.03/647.39
  6. Step 6: Final answer
    x = 922.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.