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Finding the Fourth Proportional to 580.23, 866.16 and 503.42

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Solution

The fourth proportional to 580.23, 866.16 and 503.42 is: 751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.23 : 866.16 = 503.42 : x
  2. Step 2: Convert to fraction form
    580.23/866.16 = 503.42/x
  3. Step 3: Cross multiply
    580.23x = 866.16 × 503.42
  4. Step 4: Simplify right side
    580.23x = 436,037.94
  5. Step 5: Solve for x
    x = 436,037.94/580.23
  6. Step 6: Final answer
    x = 751.49

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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.