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Finding the Fourth Proportional to 455.58, 686.19 and 433.71

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Solution

The fourth proportional to 455.58, 686.19 and 433.71 is: 653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.58 : 686.19 = 433.71 : x
  2. Step 2: Convert to fraction form
    455.58/686.19 = 433.71/x
  3. Step 3: Cross multiply
    455.58x = 686.19 × 433.71
  4. Step 4: Simplify right side
    455.58x = 297,607.46
  5. Step 5: Solve for x
    x = 297,607.46/455.58
  6. Step 6: Final answer
    x = 653.25

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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.