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Finding the Fourth Proportional to 562.76, 776.36 and 366.20

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Solution

The fourth proportional to 562.76, 776.36 and 366.20 is: 505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.76 : 776.36 = 366.20 : x
  2. Step 2: Convert to fraction form
    562.76/776.36 = 366.20/x
  3. Step 3: Cross multiply
    562.76x = 776.36 × 366.20
  4. Step 4: Simplify right side
    562.76x = 284,303.03
  5. Step 5: Solve for x
    x = 284,303.03/562.76
  6. Step 6: Final answer
    x = 505.19

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Find fourth proportional to 281.38, 388.18 and 183.10
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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.