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Finding the Fourth Proportional to 578.70, 866.76 and 289.50

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Solution

The fourth proportional to 578.70, 866.76 and 289.50 is: 433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.70 : 866.76 = 289.50 : x
  2. Step 2: Convert to fraction form
    578.70/866.76 = 289.50/x
  3. Step 3: Cross multiply
    578.70x = 866.76 × 289.50
  4. Step 4: Simplify right side
    578.70x = 250,927.02
  5. Step 5: Solve for x
    x = 250,927.02/578.70
  6. Step 6: Final answer
    x = 433.60

Related Problems

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Half scale
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Double scale
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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.