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Finding the Fourth Proportional to 616.41, 920.57 and 525.29

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Solution

The fourth proportional to 616.41, 920.57 and 525.29 is: 784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.41 : 920.57 = 525.29 : x
  2. Step 2: Convert to fraction form
    616.41/920.57 = 525.29/x
  3. Step 3: Cross multiply
    616.41x = 920.57 × 525.29
  4. Step 4: Simplify right side
    616.41x = 483,558.99
  5. Step 5: Solve for x
    x = 483,558.99/616.41
  6. Step 6: Final answer
    x = 784.48

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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.