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Finding the Fourth Proportional to 903.96, 1,356.40 and 417.35

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Solution

The fourth proportional to 903.96, 1,356.40 and 417.35 is: 626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.96 : 1,356.40 = 417.35 : x
  2. Step 2: Convert to fraction form
    903.96/1,356.40 = 417.35/x
  3. Step 3: Cross multiply
    903.96x = 1,356.40 × 417.35
  4. Step 4: Simplify right side
    903.96x = 566,095.11
  5. Step 5: Solve for x
    x = 566,095.11/903.96
  6. Step 6: Final answer
    x = 626.24

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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.