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Finding the Fourth Proportional to 764.66, 1,055.67 and 532.10

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Solution

The fourth proportional to 764.66, 1,055.67 and 532.10 is: 734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.66 : 1,055.67 = 532.10 : x
  2. Step 2: Convert to fraction form
    764.66/1,055.67 = 532.10/x
  3. Step 3: Cross multiply
    764.66x = 1,055.67 × 532.10
  4. Step 4: Simplify right side
    764.66x = 561,722.01
  5. Step 5: Solve for x
    x = 561,722.01/764.66
  6. Step 6: Final answer
    x = 734.60

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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.