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Finding the Fourth Proportional to 585.63, 877.23 and 475.47

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Solution

The fourth proportional to 585.63, 877.23 and 475.47 is: 712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.63 : 877.23 = 475.47 : x
  2. Step 2: Convert to fraction form
    585.63/877.23 = 475.47/x
  3. Step 3: Cross multiply
    585.63x = 877.23 × 475.47
  4. Step 4: Simplify right side
    585.63x = 417,096.55
  5. Step 5: Solve for x
    x = 417,096.55/585.63
  6. Step 6: Final answer
    x = 712.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.