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Finding the Fourth Proportional to 1,051.32, 1,450.80 and 585.54

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Solution

The fourth proportional to 1,051.32, 1,450.80 and 585.54 is: 808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.32 : 1,450.80 = 585.54 : x
  2. Step 2: Convert to fraction form
    1,051.32/1,450.80 = 585.54/x
  3. Step 3: Cross multiply
    1,051.32x = 1,450.80 × 585.54
  4. Step 4: Simplify right side
    1,051.32x = 849,501.43
  5. Step 5: Solve for x
    x = 849,501.43/1,051.32
  6. Step 6: Final answer
    x = 808.03

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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.