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Finding the Fourth Proportional to 1,020.66, 1,409.10 and 647.94

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Solution

The fourth proportional to 1,020.66, 1,409.10 and 647.94 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.66 : 1,409.10 = 647.94 : x
  2. Step 2: Convert to fraction form
    1,020.66/1,409.10 = 647.94/x
  3. Step 3: Cross multiply
    1,020.66x = 1,409.10 × 647.94
  4. Step 4: Simplify right side
    1,020.66x = 913,012.25
  5. Step 5: Solve for x
    x = 913,012.25/1,020.66
  6. Step 6: Final answer
    x = 894.53

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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.