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Finding the Fourth Proportional to 764.77, 1,055.23 and 470.21

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Solution

The fourth proportional to 764.77, 1,055.23 and 470.21 is: 648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.77 : 1,055.23 = 470.21 : x
  2. Step 2: Convert to fraction form
    764.77/1,055.23 = 470.21/x
  3. Step 3: Cross multiply
    764.77x = 1,055.23 × 470.21
  4. Step 4: Simplify right side
    764.77x = 496,173.25
  5. Step 5: Solve for x
    x = 496,173.25/764.77
  6. Step 6: Final answer
    x = 648.79

Related Problems

Find fourth proportional to 382.38, 527.61 and 235.10
Half scale
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Double scale
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1.5x scale

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.