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Finding the Fourth Proportional to 677.02, 1,015.10 and 368.32

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Solution

The fourth proportional to 677.02, 1,015.10 and 368.32 is: 552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.02 : 1,015.10 = 368.32 : x
  2. Step 2: Convert to fraction form
    677.02/1,015.10 = 368.32/x
  3. Step 3: Cross multiply
    677.02x = 1,015.10 × 368.32
  4. Step 4: Simplify right side
    677.02x = 373,881.63
  5. Step 5: Solve for x
    x = 373,881.63/677.02
  6. Step 6: Final answer
    x = 552.25

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Why These Related Problems?

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