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Finding the Fourth Proportional to 957.55, 1,436 and 464.19

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Solution

The fourth proportional to 957.55, 1,436 and 464.19 is: 696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.55 : 1,436 = 464.19 : x
  2. Step 2: Convert to fraction form
    957.55/1,436 = 464.19/x
  3. Step 3: Cross multiply
    957.55x = 1,436 × 464.19
  4. Step 4: Simplify right side
    957.55x = 666,576.84
  5. Step 5: Solve for x
    x = 666,576.84/957.55
  6. Step 6: Final answer
    x = 696.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.