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Finding the Fourth Proportional to 730.81, 1,009.32 and 566.99

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Solution

The fourth proportional to 730.81, 1,009.32 and 566.99 is: 783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,009.32 = 566.99 : x
  2. Step 2: Convert to fraction form
    730.81/1,009.32 = 566.99/x
  3. Step 3: Cross multiply
    730.81x = 1,009.32 × 566.99
  4. Step 4: Simplify right side
    730.81x = 572,274.35
  5. Step 5: Solve for x
    x = 572,274.35/730.81
  6. Step 6: Final answer
    x = 783.07

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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.