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Finding the Fourth Proportional to 657.02, 977.48 and 618.14

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Solution

The fourth proportional to 657.02, 977.48 and 618.14 is: 919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 977.48 = 618.14 : x
  2. Step 2: Convert to fraction form
    657.02/977.48 = 618.14/x
  3. Step 3: Cross multiply
    657.02x = 977.48 × 618.14
  4. Step 4: Simplify right side
    657.02x = 604,219.49
  5. Step 5: Solve for x
    x = 604,219.49/657.02
  6. Step 6: Final answer
    x = 919.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.