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Finding the Fourth Proportional to 810.57, 1,212.62 and 648.57

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Solution

The fourth proportional to 810.57, 1,212.62 and 648.57 is: 970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.57 : 1,212.62 = 648.57 : x
  2. Step 2: Convert to fraction form
    810.57/1,212.62 = 648.57/x
  3. Step 3: Cross multiply
    810.57x = 1,212.62 × 648.57
  4. Step 4: Simplify right side
    810.57x = 786,465.71
  5. Step 5: Solve for x
    x = 786,465.71/810.57
  6. Step 6: Final answer
    x = 970.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.