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Finding the Fourth Proportional to 562.84, 776.64 and 314.16

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Solution

The fourth proportional to 562.84, 776.64 and 314.16 is: 433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.84 : 776.64 = 314.16 : x
  2. Step 2: Convert to fraction form
    562.84/776.64 = 314.16/x
  3. Step 3: Cross multiply
    562.84x = 776.64 × 314.16
  4. Step 4: Simplify right side
    562.84x = 243,989.22
  5. Step 5: Solve for x
    x = 243,989.22/562.84
  6. Step 6: Final answer
    x = 433.50

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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.