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Finding the Fourth Proportional to 810.94, 1,210.57 and 775.48

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Solution

The fourth proportional to 810.94, 1,210.57 and 775.48 is: 1,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.94 : 1,210.57 = 775.48 : x
  2. Step 2: Convert to fraction form
    810.94/1,210.57 = 775.48/x
  3. Step 3: Cross multiply
    810.94x = 1,210.57 × 775.48
  4. Step 4: Simplify right side
    810.94x = 938,772.82
  5. Step 5: Solve for x
    x = 938,772.82/810.94
  6. Step 6: Final answer
    x = 1,157.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.