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Finding the Fourth Proportional to 730.30, 1,009.13 and 555.34

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Solution

The fourth proportional to 730.30, 1,009.13 and 555.34 is: 767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.30 : 1,009.13 = 555.34 : x
  2. Step 2: Convert to fraction form
    730.30/1,009.13 = 555.34/x
  3. Step 3: Cross multiply
    730.30x = 1,009.13 × 555.34
  4. Step 4: Simplify right side
    730.30x = 560,410.25
  5. Step 5: Solve for x
    x = 560,410.25/730.30
  6. Step 6: Final answer
    x = 767.37

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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.