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Finding the Fourth Proportional to 565.02, 837.54 and 556.31

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Solution

The fourth proportional to 565.02, 837.54 and 556.31 is: 824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 837.54 = 556.31 : x
  2. Step 2: Convert to fraction form
    565.02/837.54 = 556.31/x
  3. Step 3: Cross multiply
    565.02x = 837.54 × 556.31
  4. Step 4: Simplify right side
    565.02x = 465,933.97
  5. Step 5: Solve for x
    x = 465,933.97/565.02
  6. Step 6: Final answer
    x = 824.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.