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Finding the Fourth Proportional to 578.42, 867.02 and 289.26

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Solution

The fourth proportional to 578.42, 867.02 and 289.26 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 867.02 = 289.26 : x
  2. Step 2: Convert to fraction form
    578.42/867.02 = 289.26/x
  3. Step 3: Cross multiply
    578.42x = 867.02 × 289.26
  4. Step 4: Simplify right side
    578.42x = 250,794.21
  5. Step 5: Solve for x
    x = 250,794.21/578.42
  6. Step 6: Final answer
    x = 433.58

Related Problems

Find fourth proportional to 289.21, 433.51 and 144.63
Half scale
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Double scale
Find fourth proportional to 579.42, 868.52 and 290.26
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.