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Finding the Fourth Proportional to 900.02, 1,348.95 and 412.40

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Solution

The fourth proportional to 900.02, 1,348.95 and 412.40 is: 618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.02 : 1,348.95 = 412.40 : x
  2. Step 2: Convert to fraction form
    900.02/1,348.95 = 412.40/x
  3. Step 3: Cross multiply
    900.02x = 1,348.95 × 412.40
  4. Step 4: Simplify right side
    900.02x = 556,306.98
  5. Step 5: Solve for x
    x = 556,306.98/900.02
  6. Step 6: Final answer
    x = 618.11

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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.