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Finding the Fourth Proportional to 1,042.99, 1,564.49 and 302.62

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Solution

The fourth proportional to 1,042.99, 1,564.49 and 302.62 is: 453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.99 : 1,564.49 = 302.62 : x
  2. Step 2: Convert to fraction form
    1,042.99/1,564.49 = 302.62/x
  3. Step 3: Cross multiply
    1,042.99x = 1,564.49 × 302.62
  4. Step 4: Simplify right side
    1,042.99x = 473,445.96
  5. Step 5: Solve for x
    x = 473,445.96/1,042.99
  6. Step 6: Final answer
    x = 453.93

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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.