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Finding the Fourth Proportional to 585.24, 873.15 and 557.72

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Solution

The fourth proportional to 585.24, 873.15 and 557.72 is: 832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 873.15 = 557.72 : x
  2. Step 2: Convert to fraction form
    585.24/873.15 = 557.72/x
  3. Step 3: Cross multiply
    585.24x = 873.15 × 557.72
  4. Step 4: Simplify right side
    585.24x = 486,973.22
  5. Step 5: Solve for x
    x = 486,973.22/585.24
  6. Step 6: Final answer
    x = 832.09

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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.