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Finding the Fourth Proportional to 859.93, 1,290.24 and 312.15

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Solution

The fourth proportional to 859.93, 1,290.24 and 312.15 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.93 : 1,290.24 = 312.15 : x
  2. Step 2: Convert to fraction form
    859.93/1,290.24 = 312.15/x
  3. Step 3: Cross multiply
    859.93x = 1,290.24 × 312.15
  4. Step 4: Simplify right side
    859.93x = 402,748.42
  5. Step 5: Solve for x
    x = 402,748.42/859.93
  6. Step 6: Final answer
    x = 468.35

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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.