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Finding the Fourth Proportional to 657.60, 985.14 and 368.16

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Solution

The fourth proportional to 657.60, 985.14 and 368.16 is: 551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 985.14 = 368.16 : x
  2. Step 2: Convert to fraction form
    657.60/985.14 = 368.16/x
  3. Step 3: Cross multiply
    657.60x = 985.14 × 368.16
  4. Step 4: Simplify right side
    657.60x = 362,689.14
  5. Step 5: Solve for x
    x = 362,689.14/657.60
  6. Step 6: Final answer
    x = 551.53

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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.