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Finding the Fourth Proportional to 903.36, 1,354.24 and 390.08

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Solution

The fourth proportional to 903.36, 1,354.24 and 390.08 is: 584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.36 : 1,354.24 = 390.08 : x
  2. Step 2: Convert to fraction form
    903.36/1,354.24 = 390.08/x
  3. Step 3: Cross multiply
    903.36x = 1,354.24 × 390.08
  4. Step 4: Simplify right side
    903.36x = 528,261.94
  5. Step 5: Solve for x
    x = 528,261.94/903.36
  6. Step 6: Final answer
    x = 584.77

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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.