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Finding the Fourth Proportional to 557.40, 832.02 and 520.92

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Solution

The fourth proportional to 557.40, 832.02 and 520.92 is: 777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 832.02 = 520.92 : x
  2. Step 2: Convert to fraction form
    557.40/832.02 = 520.92/x
  3. Step 3: Cross multiply
    557.40x = 832.02 × 520.92
  4. Step 4: Simplify right side
    557.40x = 433,415.86
  5. Step 5: Solve for x
    x = 433,415.86/557.40
  6. Step 6: Final answer
    x = 777.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.