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Finding the Fourth Proportional to 764.63, 1,055.49 and 578.16

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Solution

The fourth proportional to 764.63, 1,055.49 and 578.16 is: 798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.63 : 1,055.49 = 578.16 : x
  2. Step 2: Convert to fraction form
    764.63/1,055.49 = 578.16/x
  3. Step 3: Cross multiply
    764.63x = 1,055.49 × 578.16
  4. Step 4: Simplify right side
    764.63x = 610,242.10
  5. Step 5: Solve for x
    x = 610,242.10/764.63
  6. Step 6: Final answer
    x = 798.09

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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.