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Finding the Fourth Proportional to 764.07, 1,054.47 and 469.18

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Solution

The fourth proportional to 764.07, 1,054.47 and 469.18 is: 647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.07 : 1,054.47 = 469.18 : x
  2. Step 2: Convert to fraction form
    764.07/1,054.47 = 469.18/x
  3. Step 3: Cross multiply
    764.07x = 1,054.47 × 469.18
  4. Step 4: Simplify right side
    764.07x = 494,736.23
  5. Step 5: Solve for x
    x = 494,736.23/764.07
  6. Step 6: Final answer
    x = 647.50

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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.