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Finding the Fourth Proportional to 948.23, 1,309.85 and 802.43

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Solution

The fourth proportional to 948.23, 1,309.85 and 802.43 is: 1,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.23 : 1,309.85 = 802.43 : x
  2. Step 2: Convert to fraction form
    948.23/1,309.85 = 802.43/x
  3. Step 3: Cross multiply
    948.23x = 1,309.85 × 802.43
  4. Step 4: Simplify right side
    948.23x = 1,051,062.94
  5. Step 5: Solve for x
    x = 1,051,062.94/948.23
  6. Step 6: Final answer
    x = 1,108.45

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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.