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Finding the Fourth Proportional to 433.16, 652.77 and 389.87

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Solution

The fourth proportional to 433.16, 652.77 and 389.87 is: 587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 652.77 = 389.87 : x
  2. Step 2: Convert to fraction form
    433.16/652.77 = 389.87/x
  3. Step 3: Cross multiply
    433.16x = 652.77 × 389.87
  4. Step 4: Simplify right side
    433.16x = 254,492.18
  5. Step 5: Solve for x
    x = 254,492.18/433.16
  6. Step 6: Final answer
    x = 587.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.