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Finding the Fourth Proportional to 941.15, 1,300.10 and 802.77

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Solution

The fourth proportional to 941.15, 1,300.10 and 802.77 is: 1,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.15 : 1,300.10 = 802.77 : x
  2. Step 2: Convert to fraction form
    941.15/1,300.10 = 802.77/x
  3. Step 3: Cross multiply
    941.15x = 1,300.10 × 802.77
  4. Step 4: Simplify right side
    941.15x = 1,043,677.26
  5. Step 5: Solve for x
    x = 1,043,677.26/941.15
  6. Step 6: Final answer
    x = 1,108.94

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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.