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Finding the Fourth Proportional to 585.42, 874.82 and 477.30

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Solution

The fourth proportional to 585.42, 874.82 and 477.30 is: 713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 874.82 = 477.30 : x
  2. Step 2: Convert to fraction form
    585.42/874.82 = 477.30/x
  3. Step 3: Cross multiply
    585.42x = 874.82 × 477.30
  4. Step 4: Simplify right side
    585.42x = 417,549.20
  5. Step 5: Solve for x
    x = 417,549.20/585.42
  6. Step 6: Final answer
    x = 713.25

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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.