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Finding the Fourth Proportional to 430.35, 592.68 and 429.13

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Solution

The fourth proportional to 430.35, 592.68 and 429.13 is: 591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.35 : 592.68 = 429.13 : x
  2. Step 2: Convert to fraction form
    430.35/592.68 = 429.13/x
  3. Step 3: Cross multiply
    430.35x = 592.68 × 429.13
  4. Step 4: Simplify right side
    430.35x = 254,336.77
  5. Step 5: Solve for x
    x = 254,336.77/430.35
  6. Step 6: Final answer
    x = 591.00

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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.