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Finding the Fourth Proportional to 556.04, 767.40 and 462.62

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Solution

The fourth proportional to 556.04, 767.40 and 462.62 is: 638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.04 : 767.40 = 462.62 : x
  2. Step 2: Convert to fraction form
    556.04/767.40 = 462.62/x
  3. Step 3: Cross multiply
    556.04x = 767.40 × 462.62
  4. Step 4: Simplify right side
    556.04x = 355,010.75
  5. Step 5: Solve for x
    x = 355,010.75/556.04
  6. Step 6: Final answer
    x = 638.47

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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.