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Finding the Fourth Proportional to 764.58, 1,055.14 and 433.02

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Solution

The fourth proportional to 764.58, 1,055.14 and 433.02 is: 597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.58 : 1,055.14 = 433.02 : x
  2. Step 2: Convert to fraction form
    764.58/1,055.14 = 433.02/x
  3. Step 3: Cross multiply
    764.58x = 1,055.14 × 433.02
  4. Step 4: Simplify right side
    764.58x = 456,896.72
  5. Step 5: Solve for x
    x = 456,896.72/764.58
  6. Step 6: Final answer
    x = 597.58

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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.