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Finding the Fourth Proportional to 577.11, 866.09 and 288.75

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Solution

The fourth proportional to 577.11, 866.09 and 288.75 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.11 : 866.09 = 288.75 : x
  2. Step 2: Convert to fraction form
    577.11/866.09 = 288.75/x
  3. Step 3: Cross multiply
    577.11x = 866.09 × 288.75
  4. Step 4: Simplify right side
    577.11x = 250,082.04
  5. Step 5: Solve for x
    x = 250,082.04/577.11
  6. Step 6: Final answer
    x = 433.34

Related Problems

Find fourth proportional to 288.56, 433.04 and 144.38
Half scale
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Double scale
Find fourth proportional to 578.11, 867.59 and 289.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.