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Finding the Fourth Proportional to 957.47, 1,320.58 and 824.91

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Solution

The fourth proportional to 957.47, 1,320.58 and 824.91 is: 1,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.47 : 1,320.58 = 824.91 : x
  2. Step 2: Convert to fraction form
    957.47/1,320.58 = 824.91/x
  3. Step 3: Cross multiply
    957.47x = 1,320.58 × 824.91
  4. Step 4: Simplify right side
    957.47x = 1,089,355.52
  5. Step 5: Solve for x
    x = 1,089,355.52/957.47
  6. Step 6: Final answer
    x = 1,137.75

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Why These Related Problems?

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