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Finding the Fourth Proportional to 730.39, 1,007.70 and 415.64

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Solution

The fourth proportional to 730.39, 1,007.70 and 415.64 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.39 : 1,007.70 = 415.64 : x
  2. Step 2: Convert to fraction form
    730.39/1,007.70 = 415.64/x
  3. Step 3: Cross multiply
    730.39x = 1,007.70 × 415.64
  4. Step 4: Simplify right side
    730.39x = 418,840.43
  5. Step 5: Solve for x
    x = 418,840.43/730.39
  6. Step 6: Final answer
    x = 573.45

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1.5x scale

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.