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Finding the Fourth Proportional to 602.62, 904.32 and 278.02

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Solution

The fourth proportional to 602.62, 904.32 and 278.02 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.62 : 904.32 = 278.02 : x
  2. Step 2: Convert to fraction form
    602.62/904.32 = 278.02/x
  3. Step 3: Cross multiply
    602.62x = 904.32 × 278.02
  4. Step 4: Simplify right side
    602.62x = 251,419.05
  5. Step 5: Solve for x
    x = 251,419.05/602.62
  6. Step 6: Final answer
    x = 417.21

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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.