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Finding the Fourth Proportional to 572.84, 859.40 and 312.78

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Solution

The fourth proportional to 572.84, 859.40 and 312.78 is: 469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 859.40 = 312.78 : x
  2. Step 2: Convert to fraction form
    572.84/859.40 = 312.78/x
  3. Step 3: Cross multiply
    572.84x = 859.40 × 312.78
  4. Step 4: Simplify right side
    572.84x = 268,803.13
  5. Step 5: Solve for x
    x = 268,803.13/572.84
  6. Step 6: Final answer
    x = 469.25

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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.