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Finding the Fourth Proportional to 586.72, 810.22 and 447.80

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Solution

The fourth proportional to 586.72, 810.22 and 447.80 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 810.22 = 447.80 : x
  2. Step 2: Convert to fraction form
    586.72/810.22 = 447.80/x
  3. Step 3: Cross multiply
    586.72x = 810.22 × 447.80
  4. Step 4: Simplify right side
    586.72x = 362,816.52
  5. Step 5: Solve for x
    x = 362,816.52/586.72
  6. Step 6: Final answer
    x = 618.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.