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Finding the Fourth Proportional to 555.46, 833.49 and 312.05

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Solution

The fourth proportional to 555.46, 833.49 and 312.05 is: 468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.46 : 833.49 = 312.05 : x
  2. Step 2: Convert to fraction form
    555.46/833.49 = 312.05/x
  3. Step 3: Cross multiply
    555.46x = 833.49 × 312.05
  4. Step 4: Simplify right side
    555.46x = 260,092.64
  5. Step 5: Solve for x
    x = 260,092.64/555.46
  6. Step 6: Final answer
    x = 468.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.