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Finding the Fourth Proportional to 580.30, 865.70 and 499.30

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Solution

The fourth proportional to 580.30, 865.70 and 499.30 is: 744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.30 : 865.70 = 499.30 : x
  2. Step 2: Convert to fraction form
    580.30/865.70 = 499.30/x
  3. Step 3: Cross multiply
    580.30x = 865.70 × 499.30
  4. Step 4: Simplify right side
    580.30x = 432,244.01
  5. Step 5: Solve for x
    x = 432,244.01/580.30
  6. Step 6: Final answer
    x = 744.86

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1.5x scale

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.