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Finding the Fourth Proportional to 585.63, 873.22 and 578.45

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Solution

The fourth proportional to 585.63, 873.22 and 578.45 is: 862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.63 : 873.22 = 578.45 : x
  2. Step 2: Convert to fraction form
    585.63/873.22 = 578.45/x
  3. Step 3: Cross multiply
    585.63x = 873.22 × 578.45
  4. Step 4: Simplify right side
    585.63x = 505,120.01
  5. Step 5: Solve for x
    x = 505,120.01/585.63
  6. Step 6: Final answer
    x = 862.52

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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.