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Finding the Fourth Proportional to 623.51, 859.73 and 565.19

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Solution

The fourth proportional to 623.51, 859.73 and 565.19 is: 779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.51 : 859.73 = 565.19 : x
  2. Step 2: Convert to fraction form
    623.51/859.73 = 565.19/x
  3. Step 3: Cross multiply
    623.51x = 859.73 × 565.19
  4. Step 4: Simplify right side
    623.51x = 485,903.67
  5. Step 5: Solve for x
    x = 485,903.67/623.51
  6. Step 6: Final answer
    x = 779.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.