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Finding the Fourth Proportional to 873.03, 1,312.02 and 659.19

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Solution

The fourth proportional to 873.03, 1,312.02 and 659.19 is: 990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.03 : 1,312.02 = 659.19 : x
  2. Step 2: Convert to fraction form
    873.03/1,312.02 = 659.19/x
  3. Step 3: Cross multiply
    873.03x = 1,312.02 × 659.19
  4. Step 4: Simplify right side
    873.03x = 864,870.46
  5. Step 5: Solve for x
    x = 864,870.46/873.03
  6. Step 6: Final answer
    x = 990.65

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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.