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Finding the Fourth Proportional to 993.84, 1,491.40 and 507.20

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Solution

The fourth proportional to 993.84, 1,491.40 and 507.20 is: 761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.84 : 1,491.40 = 507.20 : x
  2. Step 2: Convert to fraction form
    993.84/1,491.40 = 507.20/x
  3. Step 3: Cross multiply
    993.84x = 1,491.40 × 507.20
  4. Step 4: Simplify right side
    993.84x = 756,438.08
  5. Step 5: Solve for x
    x = 756,438.08/993.84
  6. Step 6: Final answer
    x = 761.13

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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.