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Finding the Fourth Proportional to 942.90, 1,300.80 and 647.66

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Solution

The fourth proportional to 942.90, 1,300.80 and 647.66 is: 893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.90 : 1,300.80 = 647.66 : x
  2. Step 2: Convert to fraction form
    942.90/1,300.80 = 647.66/x
  3. Step 3: Cross multiply
    942.90x = 1,300.80 × 647.66
  4. Step 4: Simplify right side
    942.90x = 842,476.13
  5. Step 5: Solve for x
    x = 842,476.13/942.90
  6. Step 6: Final answer
    x = 893.49

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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.