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Finding the Fourth Proportional to 585.05, 874.98 and 520.47

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Solution

The fourth proportional to 585.05, 874.98 and 520.47 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 874.98 = 520.47 : x
  2. Step 2: Convert to fraction form
    585.05/874.98 = 520.47/x
  3. Step 3: Cross multiply
    585.05x = 874.98 × 520.47
  4. Step 4: Simplify right side
    585.05x = 455,400.84
  5. Step 5: Solve for x
    x = 455,400.84/585.05
  6. Step 6: Final answer
    x = 778.40

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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.