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Finding the Fourth Proportional to 858.85, 1,290.53 and 469.10

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Solution

The fourth proportional to 858.85, 1,290.53 and 469.10 is: 704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.85 : 1,290.53 = 469.10 : x
  2. Step 2: Convert to fraction form
    858.85/1,290.53 = 469.10/x
  3. Step 3: Cross multiply
    858.85x = 1,290.53 × 469.10
  4. Step 4: Simplify right side
    858.85x = 605,392.02
  5. Step 5: Solve for x
    x = 605,392.02/858.85
  6. Step 6: Final answer
    x = 704.89

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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.