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Finding the Fourth Proportional to 719.63, 1,074.58 and 631.13

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Solution

The fourth proportional to 719.63, 1,074.58 and 631.13 is: 942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.63 : 1,074.58 = 631.13 : x
  2. Step 2: Convert to fraction form
    719.63/1,074.58 = 631.13/x
  3. Step 3: Cross multiply
    719.63x = 1,074.58 × 631.13
  4. Step 4: Simplify right side
    719.63x = 678,199.12
  5. Step 5: Solve for x
    x = 678,199.12/719.63
  6. Step 6: Final answer
    x = 942.42

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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.