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Finding the Fourth Proportional to 488.51, 670.53 and 434.88

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Solution

The fourth proportional to 488.51, 670.53 and 434.88 is: 596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.51 : 670.53 = 434.88 : x
  2. Step 2: Convert to fraction form
    488.51/670.53 = 434.88/x
  3. Step 3: Cross multiply
    488.51x = 670.53 × 434.88
  4. Step 4: Simplify right side
    488.51x = 291,600.09
  5. Step 5: Solve for x
    x = 291,600.09/488.51
  6. Step 6: Final answer
    x = 596.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.