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Finding the Fourth Proportional to 566.13, 848.62 and 322.16

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Solution

The fourth proportional to 566.13, 848.62 and 322.16 is: 482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.13 : 848.62 = 322.16 : x
  2. Step 2: Convert to fraction form
    566.13/848.62 = 322.16/x
  3. Step 3: Cross multiply
    566.13x = 848.62 × 322.16
  4. Step 4: Simplify right side
    566.13x = 273,386.37
  5. Step 5: Solve for x
    x = 273,386.37/566.13
  6. Step 6: Final answer
    x = 482.90

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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.