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Finding the Fourth Proportional to 1,048.47, 1,572.98 and 399.26

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Solution

The fourth proportional to 1,048.47, 1,572.98 and 399.26 is: 598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.47 : 1,572.98 = 399.26 : x
  2. Step 2: Convert to fraction form
    1,048.47/1,572.98 = 399.26/x
  3. Step 3: Cross multiply
    1,048.47x = 1,572.98 × 399.26
  4. Step 4: Simplify right side
    1,048.47x = 628,018.13
  5. Step 5: Solve for x
    x = 628,018.13/1,048.47
  6. Step 6: Final answer
    x = 598.99

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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.