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Finding the Fourth Proportional to 957.10, 1,320.92 and 564.16

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Solution

The fourth proportional to 957.10, 1,320.92 and 564.16 is: 778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.10 : 1,320.92 = 564.16 : x
  2. Step 2: Convert to fraction form
    957.10/1,320.92 = 564.16/x
  3. Step 3: Cross multiply
    957.10x = 1,320.92 × 564.16
  4. Step 4: Simplify right side
    957.10x = 745,210.23
  5. Step 5: Solve for x
    x = 745,210.23/957.10
  6. Step 6: Final answer
    x = 778.61

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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.