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Finding the Fourth Proportional to 993.84, 1,490.22 and 507.30

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Solution

The fourth proportional to 993.84, 1,490.22 and 507.30 is: 760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.84 : 1,490.22 = 507.30 : x
  2. Step 2: Convert to fraction form
    993.84/1,490.22 = 507.30/x
  3. Step 3: Cross multiply
    993.84x = 1,490.22 × 507.30
  4. Step 4: Simplify right side
    993.84x = 755,988.61
  5. Step 5: Solve for x
    x = 755,988.61/993.84
  6. Step 6: Final answer
    x = 760.67

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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.