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Finding the Fourth Proportional to 557.28, 763.46 and 536.51

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Solution

The fourth proportional to 557.28, 763.46 and 536.51 is: 735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 763.46 = 536.51 : x
  2. Step 2: Convert to fraction form
    557.28/763.46 = 536.51/x
  3. Step 3: Cross multiply
    557.28x = 763.46 × 536.51
  4. Step 4: Simplify right side
    557.28x = 409,603.92
  5. Step 5: Solve for x
    x = 409,603.92/557.28
  6. Step 6: Final answer
    x = 735.01

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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.