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Finding the Fourth Proportional to 548.90, 826.58 and 532.76

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Solution

The fourth proportional to 548.90, 826.58 and 532.76 is: 802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.90 : 826.58 = 532.76 : x
  2. Step 2: Convert to fraction form
    548.90/826.58 = 532.76/x
  3. Step 3: Cross multiply
    548.90x = 826.58 × 532.76
  4. Step 4: Simplify right side
    548.90x = 440,368.76
  5. Step 5: Solve for x
    x = 440,368.76/548.90
  6. Step 6: Final answer
    x = 802.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.