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Finding the Fourth Proportional to 582.16, 866.64 and 579.08

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Solution

The fourth proportional to 582.16, 866.64 and 579.08 is: 862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 866.64 = 579.08 : x
  2. Step 2: Convert to fraction form
    582.16/866.64 = 579.08/x
  3. Step 3: Cross multiply
    582.16x = 866.64 × 579.08
  4. Step 4: Simplify right side
    582.16x = 501,857.51
  5. Step 5: Solve for x
    x = 501,857.51/582.16
  6. Step 6: Final answer
    x = 862.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.