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Finding the Fourth Proportional to 704.89, 1,051.57 and 590.05

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Solution

The fourth proportional to 704.89, 1,051.57 and 590.05 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.89 : 1,051.57 = 590.05 : x
  2. Step 2: Convert to fraction form
    704.89/1,051.57 = 590.05/x
  3. Step 3: Cross multiply
    704.89x = 1,051.57 × 590.05
  4. Step 4: Simplify right side
    704.89x = 620,478.88
  5. Step 5: Solve for x
    x = 620,478.88/704.89
  6. Step 6: Final answer
    x = 880.25

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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.