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Finding the Fourth Proportional to 719.06, 1,072.53 and 602.15

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Solution

The fourth proportional to 719.06, 1,072.53 and 602.15 is: 898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.06 : 1,072.53 = 602.15 : x
  2. Step 2: Convert to fraction form
    719.06/1,072.53 = 602.15/x
  3. Step 3: Cross multiply
    719.06x = 1,072.53 × 602.15
  4. Step 4: Simplify right side
    719.06x = 645,818.58
  5. Step 5: Solve for x
    x = 645,818.58/719.06
  6. Step 6: Final answer
    x = 898.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.