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Finding the Fourth Proportional to 647.19, 974.57 and 465.85

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Solution

The fourth proportional to 647.19, 974.57 and 465.85 is: 701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.19 : 974.57 = 465.85 : x
  2. Step 2: Convert to fraction form
    647.19/974.57 = 465.85/x
  3. Step 3: Cross multiply
    647.19x = 974.57 × 465.85
  4. Step 4: Simplify right side
    647.19x = 454,003.43
  5. Step 5: Solve for x
    x = 454,003.43/647.19
  6. Step 6: Final answer
    x = 701.50

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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.