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Finding the Fourth Proportional to 556.90, 837.15 and 477.70

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Solution

The fourth proportional to 556.90, 837.15 and 477.70 is: 718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.90 : 837.15 = 477.70 : x
  2. Step 2: Convert to fraction form
    556.90/837.15 = 477.70/x
  3. Step 3: Cross multiply
    556.90x = 837.15 × 477.70
  4. Step 4: Simplify right side
    556.90x = 399,906.56
  5. Step 5: Solve for x
    x = 399,906.56/556.90
  6. Step 6: Final answer
    x = 718.09

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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.