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Finding the Fourth Proportional to 730.02, 1,007.35 and 415.19

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Solution

The fourth proportional to 730.02, 1,007.35 and 415.19 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.02 : 1,007.35 = 415.19 : x
  2. Step 2: Convert to fraction form
    730.02/1,007.35 = 415.19/x
  3. Step 3: Cross multiply
    730.02x = 1,007.35 × 415.19
  4. Step 4: Simplify right side
    730.02x = 418,241.65
  5. Step 5: Solve for x
    x = 418,241.65/730.02
  6. Step 6: Final answer
    x = 572.92

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Double scale
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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.