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Finding the Fourth Proportional to 577.34, 865.03 and 556.01

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Solution

The fourth proportional to 577.34, 865.03 and 556.01 is: 833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.34 : 865.03 = 556.01 : x
  2. Step 2: Convert to fraction form
    577.34/865.03 = 556.01/x
  3. Step 3: Cross multiply
    577.34x = 865.03 × 556.01
  4. Step 4: Simplify right side
    577.34x = 480,961.01
  5. Step 5: Solve for x
    x = 480,961.01/577.34
  6. Step 6: Final answer
    x = 833.07

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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.