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Finding the Fourth Proportional to 578.10, 867.42 and 289.50

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Solution

The fourth proportional to 578.10, 867.42 and 289.50 is: 434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 867.42 = 289.50 : x
  2. Step 2: Convert to fraction form
    578.10/867.42 = 289.50/x
  3. Step 3: Cross multiply
    578.10x = 867.42 × 289.50
  4. Step 4: Simplify right side
    578.10x = 251,118.09
  5. Step 5: Solve for x
    x = 251,118.09/578.10
  6. Step 6: Final answer
    x = 434.39

Related Problems

Find fourth proportional to 289.05, 433.71 and 144.75
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.