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Finding the Fourth Proportional to 591.51, 890.58 and 430.32

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Solution

The fourth proportional to 591.51, 890.58 and 430.32 is: 647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.51 : 890.58 = 430.32 : x
  2. Step 2: Convert to fraction form
    591.51/890.58 = 430.32/x
  3. Step 3: Cross multiply
    591.51x = 890.58 × 430.32
  4. Step 4: Simplify right side
    591.51x = 383,234.39
  5. Step 5: Solve for x
    x = 383,234.39/591.51
  6. Step 6: Final answer
    x = 647.89

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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.