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Finding the Fourth Proportional to 566.15, 848.63 and 383.55

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Solution

The fourth proportional to 566.15, 848.63 and 383.55 is: 574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.15 : 848.63 = 383.55 : x
  2. Step 2: Convert to fraction form
    566.15/848.63 = 383.55/x
  3. Step 3: Cross multiply
    566.15x = 848.63 × 383.55
  4. Step 4: Simplify right side
    566.15x = 325,490.12
  5. Step 5: Solve for x
    x = 325,490.12/566.15
  6. Step 6: Final answer
    x = 574.92

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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.