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Finding the Fourth Proportional to 474.04, 709.74 and 358.12

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Solution

The fourth proportional to 474.04, 709.74 and 358.12 is: 536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.04 : 709.74 = 358.12 : x
  2. Step 2: Convert to fraction form
    474.04/709.74 = 358.12/x
  3. Step 3: Cross multiply
    474.04x = 709.74 × 358.12
  4. Step 4: Simplify right side
    474.04x = 254,172.09
  5. Step 5: Solve for x
    x = 254,172.09/474.04
  6. Step 6: Final answer
    x = 536.18

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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.