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Finding the Fourth Proportional to 1,455.69, 2,005.62 and 957.45

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Solution

The fourth proportional to 1,455.69, 2,005.62 and 957.45 is: 1,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.69 : 2,005.62 = 957.45 : x
  2. Step 2: Convert to fraction form
    1,455.69/2,005.62 = 957.45/x
  3. Step 3: Cross multiply
    1,455.69x = 2,005.62 × 957.45
  4. Step 4: Simplify right side
    1,455.69x = 1,920,280.87
  5. Step 5: Solve for x
    x = 1,920,280.87/1,455.69
  6. Step 6: Final answer
    x = 1,319.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.