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Finding the Fourth Proportional to 643.32, 957.60 and 613.46

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Solution

The fourth proportional to 643.32, 957.60 and 613.46 is: 913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 957.60 = 613.46 : x
  2. Step 2: Convert to fraction form
    643.32/957.60 = 613.46/x
  3. Step 3: Cross multiply
    643.32x = 957.60 × 613.46
  4. Step 4: Simplify right side
    643.32x = 587,444.51
  5. Step 5: Solve for x
    x = 587,444.51/643.32
  6. Step 6: Final answer
    x = 913.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.