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Finding the Fourth Proportional to 1,025.04, 1,536.60 and 477.06

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Solution

The fourth proportional to 1,025.04, 1,536.60 and 477.06 is: 715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.04 : 1,536.60 = 477.06 : x
  2. Step 2: Convert to fraction form
    1,025.04/1,536.60 = 477.06/x
  3. Step 3: Cross multiply
    1,025.04x = 1,536.60 × 477.06
  4. Step 4: Simplify right side
    1,025.04x = 733,050.40
  5. Step 5: Solve for x
    x = 733,050.40/1,025.04
  6. Step 6: Final answer
    x = 715.14

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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.