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Finding the Fourth Proportional to 555.62, 765.50 and 430.84

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Solution

The fourth proportional to 555.62, 765.50 and 430.84 is: 593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.62 : 765.50 = 430.84 : x
  2. Step 2: Convert to fraction form
    555.62/765.50 = 430.84/x
  3. Step 3: Cross multiply
    555.62x = 765.50 × 430.84
  4. Step 4: Simplify right side
    555.62x = 329,808.02
  5. Step 5: Solve for x
    x = 329,808.02/555.62
  6. Step 6: Final answer
    x = 593.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.