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Finding the Fourth Proportional to 647.02, 971.78 and 554.68

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Solution

The fourth proportional to 647.02, 971.78 and 554.68 is: 833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.02 : 971.78 = 554.68 : x
  2. Step 2: Convert to fraction form
    647.02/971.78 = 554.68/x
  3. Step 3: Cross multiply
    647.02x = 971.78 × 554.68
  4. Step 4: Simplify right side
    647.02x = 539,026.93
  5. Step 5: Solve for x
    x = 539,026.93/647.02
  6. Step 6: Final answer
    x = 833.09

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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.