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Finding the Fourth Proportional to 562.51, 776.20 and 313.84

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Solution

The fourth proportional to 562.51, 776.20 and 313.84 is: 433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.51 : 776.20 = 313.84 : x
  2. Step 2: Convert to fraction form
    562.51/776.20 = 313.84/x
  3. Step 3: Cross multiply
    562.51x = 776.20 × 313.84
  4. Step 4: Simplify right side
    562.51x = 243,597.16
  5. Step 5: Solve for x
    x = 243,597.16/562.51
  6. Step 6: Final answer
    x = 433.06

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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.