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Finding the Fourth Proportional to 562.76, 776.26 and 438.28

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Solution

The fourth proportional to 562.76, 776.26 and 438.28 is: 604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.76 : 776.26 = 438.28 : x
  2. Step 2: Convert to fraction form
    562.76/776.26 = 438.28/x
  3. Step 3: Cross multiply
    562.76x = 776.26 × 438.28
  4. Step 4: Simplify right side
    562.76x = 340,219.23
  5. Step 5: Solve for x
    x = 340,219.23/562.76
  6. Step 6: Final answer
    x = 604.55

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Find fourth proportional to 281.38, 388.13 and 219.14
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.