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Finding the Fourth Proportional to 874.99, 1,312.74 and 258.71

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Solution

The fourth proportional to 874.99, 1,312.74 and 258.71 is: 388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.99 : 1,312.74 = 258.71 : x
  2. Step 2: Convert to fraction form
    874.99/1,312.74 = 258.71/x
  3. Step 3: Cross multiply
    874.99x = 1,312.74 × 258.71
  4. Step 4: Simplify right side
    874.99x = 339,615.19
  5. Step 5: Solve for x
    x = 339,615.19/874.99
  6. Step 6: Final answer
    x = 388.14

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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.