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Finding the Fourth Proportional to 730.19, 1,007.85 and 415.64

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Solution

The fourth proportional to 730.19, 1,007.85 and 415.64 is: 573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.19 : 1,007.85 = 415.64 : x
  2. Step 2: Convert to fraction form
    730.19/1,007.85 = 415.64/x
  3. Step 3: Cross multiply
    730.19x = 1,007.85 × 415.64
  4. Step 4: Simplify right side
    730.19x = 418,902.77
  5. Step 5: Solve for x
    x = 418,902.77/730.19
  6. Step 6: Final answer
    x = 573.69

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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.