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Finding the Fourth Proportional to 556.96, 763.03 and 536.19

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Solution

The fourth proportional to 556.96, 763.03 and 536.19 is: 734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.96 : 763.03 = 536.19 : x
  2. Step 2: Convert to fraction form
    556.96/763.03 = 536.19/x
  3. Step 3: Cross multiply
    556.96x = 763.03 × 536.19
  4. Step 4: Simplify right side
    556.96x = 409,129.06
  5. Step 5: Solve for x
    x = 409,129.06/556.96
  6. Step 6: Final answer
    x = 734.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.