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Finding the Fourth Proportional to 582.75, 869.60 and 504.99

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Solution

The fourth proportional to 582.75, 869.60 and 504.99 is: 753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 869.60 = 504.99 : x
  2. Step 2: Convert to fraction form
    582.75/869.60 = 504.99/x
  3. Step 3: Cross multiply
    582.75x = 869.60 × 504.99
  4. Step 4: Simplify right side
    582.75x = 439,140.57
  5. Step 5: Solve for x
    x = 439,140.57/582.75
  6. Step 6: Final answer
    x = 753.57

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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.