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Finding the Fourth Proportional to 573.68, 860.52 and 316.40

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Solution

The fourth proportional to 573.68, 860.52 and 316.40 is: 474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.68 : 860.52 = 316.40 : x
  2. Step 2: Convert to fraction form
    573.68/860.52 = 316.40/x
  3. Step 3: Cross multiply
    573.68x = 860.52 × 316.40
  4. Step 4: Simplify right side
    573.68x = 272,268.53
  5. Step 5: Solve for x
    x = 272,268.53/573.68
  6. Step 6: Final answer
    x = 474.60

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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.