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Finding the Fourth Proportional to 571.64, 788.85 and 338.75

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Solution

The fourth proportional to 571.64, 788.85 and 338.75 is: 467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.64 : 788.85 = 338.75 : x
  2. Step 2: Convert to fraction form
    571.64/788.85 = 338.75/x
  3. Step 3: Cross multiply
    571.64x = 788.85 × 338.75
  4. Step 4: Simplify right side
    571.64x = 267,222.94
  5. Step 5: Solve for x
    x = 267,222.94/571.64
  6. Step 6: Final answer
    x = 467.47

Related Problems

Find fourth proportional to 285.82, 394.43 and 169.38
Half scale
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Double scale
Find fourth proportional to 572.64, 790.23 and 339.75
Similar ratio
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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.