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Finding the Fourth Proportional to 1,715.42, 2,573.19 and 482.91

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Solution

The fourth proportional to 1,715.42, 2,573.19 and 482.91 is: 724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.42 : 2,573.19 = 482.91 : x
  2. Step 2: Convert to fraction form
    1,715.42/2,573.19 = 482.91/x
  3. Step 3: Cross multiply
    1,715.42x = 2,573.19 × 482.91
  4. Step 4: Simplify right side
    1,715.42x = 1,242,619.18
  5. Step 5: Solve for x
    x = 1,242,619.18/1,715.42
  6. Step 6: Final answer
    x = 724.38

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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.