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Finding the Fourth Proportional to 556.61, 767.97 and 417.18

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Solution

The fourth proportional to 556.61, 767.97 and 417.18 is: 575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 767.97 = 417.18 : x
  2. Step 2: Convert to fraction form
    556.61/767.97 = 417.18/x
  3. Step 3: Cross multiply
    556.61x = 767.97 × 417.18
  4. Step 4: Simplify right side
    556.61x = 320,381.72
  5. Step 5: Solve for x
    x = 320,381.72/556.61
  6. Step 6: Final answer
    x = 575.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.