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Finding the Fourth Proportional to 870.51, 1,305.81 and 322.86

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Solution

The fourth proportional to 870.51, 1,305.81 and 322.86 is: 484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.51 : 1,305.81 = 322.86 : x
  2. Step 2: Convert to fraction form
    870.51/1,305.81 = 322.86/x
  3. Step 3: Cross multiply
    870.51x = 1,305.81 × 322.86
  4. Step 4: Simplify right side
    870.51x = 421,593.82
  5. Step 5: Solve for x
    x = 421,593.82/870.51
  6. Step 6: Final answer
    x = 484.31

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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.