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Finding the Fourth Proportional to 1,553.35, 2,329.85 and 457.69

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Solution

The fourth proportional to 1,553.35, 2,329.85 and 457.69 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.35 : 2,329.85 = 457.69 : x
  2. Step 2: Convert to fraction form
    1,553.35/2,329.85 = 457.69/x
  3. Step 3: Cross multiply
    1,553.35x = 2,329.85 × 457.69
  4. Step 4: Simplify right side
    1,553.35x = 1,066,346.76
  5. Step 5: Solve for x
    x = 1,066,346.76/1,553.35
  6. Step 6: Final answer
    x = 686.48

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1.5x scale

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.