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Finding the Fourth Proportional to 858.53, 1,292.49 and 586.35

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Solution

The fourth proportional to 858.53, 1,292.49 and 586.35 is: 882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.53 : 1,292.49 = 586.35 : x
  2. Step 2: Convert to fraction form
    858.53/1,292.49 = 586.35/x
  3. Step 3: Cross multiply
    858.53x = 1,292.49 × 586.35
  4. Step 4: Simplify right side
    858.53x = 757,851.51
  5. Step 5: Solve for x
    x = 757,851.51/858.53
  6. Step 6: Final answer
    x = 882.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.