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Finding the Fourth Proportional to 562.55, 776.21 and 313.87

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Solution

The fourth proportional to 562.55, 776.21 and 313.87 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.55 : 776.21 = 313.87 : x
  2. Step 2: Convert to fraction form
    562.55/776.21 = 313.87/x
  3. Step 3: Cross multiply
    562.55x = 776.21 × 313.87
  4. Step 4: Simplify right side
    562.55x = 243,629.30
  5. Step 5: Solve for x
    x = 243,629.30/562.55
  6. Step 6: Final answer
    x = 433.08

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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.