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Finding the Fourth Proportional to 557.02, 834.53 and 524.08

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Solution

The fourth proportional to 557.02, 834.53 and 524.08 is: 785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 834.53 = 524.08 : x
  2. Step 2: Convert to fraction form
    557.02/834.53 = 524.08/x
  3. Step 3: Cross multiply
    557.02x = 834.53 × 524.08
  4. Step 4: Simplify right side
    557.02x = 437,357.86
  5. Step 5: Solve for x
    x = 437,357.86/557.02
  6. Step 6: Final answer
    x = 785.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.