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Finding the Fourth Proportional to 670.87, 926.33 and 434.93

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Solution

The fourth proportional to 670.87, 926.33 and 434.93 is: 600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.87 : 926.33 = 434.93 : x
  2. Step 2: Convert to fraction form
    670.87/926.33 = 434.93/x
  3. Step 3: Cross multiply
    670.87x = 926.33 × 434.93
  4. Step 4: Simplify right side
    670.87x = 402,886.53
  5. Step 5: Solve for x
    x = 402,886.53/670.87
  6. Step 6: Final answer
    x = 600.54

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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.