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Finding the Fourth Proportional to 557.46, 770.13 and 553.14

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Solution

The fourth proportional to 557.46, 770.13 and 553.14 is: 764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 770.13 = 553.14 : x
  2. Step 2: Convert to fraction form
    557.46/770.13 = 553.14/x
  3. Step 3: Cross multiply
    557.46x = 770.13 × 553.14
  4. Step 4: Simplify right side
    557.46x = 425,989.71
  5. Step 5: Solve for x
    x = 425,989.71/557.46
  6. Step 6: Final answer
    x = 764.16

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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.