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Finding the Fourth Proportional to 561.25, 841.46 and 287.13

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Solution

The fourth proportional to 561.25, 841.46 and 287.13 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.25 : 841.46 = 287.13 : x
  2. Step 2: Convert to fraction form
    561.25/841.46 = 287.13/x
  3. Step 3: Cross multiply
    561.25x = 841.46 × 287.13
  4. Step 4: Simplify right side
    561.25x = 241,608.41
  5. Step 5: Solve for x
    x = 241,608.41/561.25
  6. Step 6: Final answer
    x = 430.49

Related Problems

Find fourth proportional to 280.62, 420.73 and 143.57
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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.