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Finding the Fourth Proportional to 871.81, 1,303.01 and 802.63

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Solution

The fourth proportional to 871.81, 1,303.01 and 802.63 is: 1,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.81 : 1,303.01 = 802.63 : x
  2. Step 2: Convert to fraction form
    871.81/1,303.01 = 802.63/x
  3. Step 3: Cross multiply
    871.81x = 1,303.01 × 802.63
  4. Step 4: Simplify right side
    871.81x = 1,045,834.92
  5. Step 5: Solve for x
    x = 1,045,834.92/871.81
  6. Step 6: Final answer
    x = 1,199.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.