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Finding the Fourth Proportional to 562.32, 776.01 and 313.65

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Solution

The fourth proportional to 562.32, 776.01 and 313.65 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 776.01 = 313.65 : x
  2. Step 2: Convert to fraction form
    562.32/776.01 = 313.65/x
  3. Step 3: Cross multiply
    562.32x = 776.01 × 313.65
  4. Step 4: Simplify right side
    562.32x = 243,395.54
  5. Step 5: Solve for x
    x = 243,395.54/562.32
  6. Step 6: Final answer
    x = 432.84

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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.