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Finding the Fourth Proportional to 957.02, 1,320.45 and 584.03

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Solution

The fourth proportional to 957.02, 1,320.45 and 584.03 is: 805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.02 : 1,320.45 = 584.03 : x
  2. Step 2: Convert to fraction form
    957.02/1,320.45 = 584.03/x
  3. Step 3: Cross multiply
    957.02x = 1,320.45 × 584.03
  4. Step 4: Simplify right side
    957.02x = 771,182.41
  5. Step 5: Solve for x
    x = 771,182.41/957.02
  6. Step 6: Final answer
    x = 805.82

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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.