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Finding the Fourth Proportional to 565.64, 848.50 and 322.28

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Solution

The fourth proportional to 565.64, 848.50 and 322.28 is: 483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.64 : 848.50 = 322.28 : x
  2. Step 2: Convert to fraction form
    565.64/848.50 = 322.28/x
  3. Step 3: Cross multiply
    565.64x = 848.50 × 322.28
  4. Step 4: Simplify right side
    565.64x = 273,454.58
  5. Step 5: Solve for x
    x = 273,454.58/565.64
  6. Step 6: Final answer
    x = 483.44

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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.