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Finding the Fourth Proportional to 730.60, 1,009.62 and 555.64

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Solution

The fourth proportional to 730.60, 1,009.62 and 555.64 is: 767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,009.62 = 555.64 : x
  2. Step 2: Convert to fraction form
    730.60/1,009.62 = 555.64/x
  3. Step 3: Cross multiply
    730.60x = 1,009.62 × 555.64
  4. Step 4: Simplify right side
    730.60x = 560,985.26
  5. Step 5: Solve for x
    x = 560,985.26/730.60
  6. Step 6: Final answer
    x = 767.84

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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.