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Finding the Fourth Proportional to 1,000.58, 1,501.62 and 513.14

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Solution

The fourth proportional to 1,000.58, 1,501.62 and 513.14 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.58 : 1,501.62 = 513.14 : x
  2. Step 2: Convert to fraction form
    1,000.58/1,501.62 = 513.14/x
  3. Step 3: Cross multiply
    1,000.58x = 1,501.62 × 513.14
  4. Step 4: Simplify right side
    1,000.58x = 770,541.29
  5. Step 5: Solve for x
    x = 770,541.29/1,000.58
  6. Step 6: Final answer
    x = 770.09

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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.