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Finding the Fourth Proportional to 1,048.04, 1,570.25 and 636.32

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Solution

The fourth proportional to 1,048.04, 1,570.25 and 636.32 is: 953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.04 : 1,570.25 = 636.32 : x
  2. Step 2: Convert to fraction form
    1,048.04/1,570.25 = 636.32/x
  3. Step 3: Cross multiply
    1,048.04x = 1,570.25 × 636.32
  4. Step 4: Simplify right side
    1,048.04x = 999,181.48
  5. Step 5: Solve for x
    x = 999,181.48/1,048.04
  6. Step 6: Final answer
    x = 953.38

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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.