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Finding the Fourth Proportional to 744.35, 1,026.99 and 586.49

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Solution

The fourth proportional to 744.35, 1,026.99 and 586.49 is: 809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.35 : 1,026.99 = 586.49 : x
  2. Step 2: Convert to fraction form
    744.35/1,026.99 = 586.49/x
  3. Step 3: Cross multiply
    744.35x = 1,026.99 × 586.49
  4. Step 4: Simplify right side
    744.35x = 602,319.75
  5. Step 5: Solve for x
    x = 602,319.75/744.35
  6. Step 6: Final answer
    x = 809.19

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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.