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Finding the Fourth Proportional to 585.42, 877.54 and 380.12

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Solution

The fourth proportional to 585.42, 877.54 and 380.12 is: 569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 877.54 = 380.12 : x
  2. Step 2: Convert to fraction form
    585.42/877.54 = 380.12/x
  3. Step 3: Cross multiply
    585.42x = 877.54 × 380.12
  4. Step 4: Simplify right side
    585.42x = 333,570.50
  5. Step 5: Solve for x
    x = 333,570.50/585.42
  6. Step 6: Final answer
    x = 569.80

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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.