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Finding the Fourth Proportional to 430.70, 593.15 and 429.35

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Solution

The fourth proportional to 430.70, 593.15 and 429.35 is: 591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.70 : 593.15 = 429.35 : x
  2. Step 2: Convert to fraction form
    430.70/593.15 = 429.35/x
  3. Step 3: Cross multiply
    430.70x = 593.15 × 429.35
  4. Step 4: Simplify right side
    430.70x = 254,663.84
  5. Step 5: Solve for x
    x = 254,663.84/430.70
  6. Step 6: Final answer
    x = 591.29

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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.