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Finding the Fourth Proportional to 929.40, 1,384.08 and 873.50

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Solution

The fourth proportional to 929.40, 1,384.08 and 873.50 is: 1,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.40 : 1,384.08 = 873.50 : x
  2. Step 2: Convert to fraction form
    929.40/1,384.08 = 873.50/x
  3. Step 3: Cross multiply
    929.40x = 1,384.08 × 873.50
  4. Step 4: Simplify right side
    929.40x = 1,208,993.88
  5. Step 5: Solve for x
    x = 1,208,993.88/929.40
  6. Step 6: Final answer
    x = 1,300.83

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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.