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Finding the Fourth Proportional to 845.66, 1,271.20 and 802.46

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Solution

The fourth proportional to 845.66, 1,271.20 and 802.46 is: 1,206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.66 : 1,271.20 = 802.46 : x
  2. Step 2: Convert to fraction form
    845.66/1,271.20 = 802.46/x
  3. Step 3: Cross multiply
    845.66x = 1,271.20 × 802.46
  4. Step 4: Simplify right side
    845.66x = 1,020,087.15
  5. Step 5: Solve for x
    x = 1,020,087.15/845.66
  6. Step 6: Final answer
    x = 1,206.26

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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.