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Finding the Fourth Proportional to 945.28, 1,417.08 and 368.02

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Solution

The fourth proportional to 945.28, 1,417.08 and 368.02 is: 551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.28 : 1,417.08 = 368.02 : x
  2. Step 2: Convert to fraction form
    945.28/1,417.08 = 368.02/x
  3. Step 3: Cross multiply
    945.28x = 1,417.08 × 368.02
  4. Step 4: Simplify right side
    945.28x = 521,513.78
  5. Step 5: Solve for x
    x = 521,513.78/945.28
  6. Step 6: Final answer
    x = 551.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.