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Finding the Fourth Proportional to 913.32, 1,368.54 and 419.16

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Solution

The fourth proportional to 913.32, 1,368.54 and 419.16 is: 628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.32 : 1,368.54 = 419.16 : x
  2. Step 2: Convert to fraction form
    913.32/1,368.54 = 419.16/x
  3. Step 3: Cross multiply
    913.32x = 1,368.54 × 419.16
  4. Step 4: Simplify right side
    913.32x = 573,637.23
  5. Step 5: Solve for x
    x = 573,637.23/913.32
  6. Step 6: Final answer
    x = 628.08

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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.