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Finding the Fourth Proportional to 546.96, 817.47 and 470.40

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Solution

The fourth proportional to 546.96, 817.47 and 470.40 is: 703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.96 : 817.47 = 470.40 : x
  2. Step 2: Convert to fraction form
    546.96/817.47 = 470.40/x
  3. Step 3: Cross multiply
    546.96x = 817.47 × 470.40
  4. Step 4: Simplify right side
    546.96x = 384,537.89
  5. Step 5: Solve for x
    x = 384,537.89/546.96
  6. Step 6: Final answer
    x = 703.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.