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Finding the Fourth Proportional to 670.41, 924.33 and 433.95

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Solution

The fourth proportional to 670.41, 924.33 and 433.95 is: 598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.41 : 924.33 = 433.95 : x
  2. Step 2: Convert to fraction form
    670.41/924.33 = 433.95/x
  3. Step 3: Cross multiply
    670.41x = 924.33 × 433.95
  4. Step 4: Simplify right side
    670.41x = 401,113.00
  5. Step 5: Solve for x
    x = 401,113.00/670.41
  6. Step 6: Final answer
    x = 598.31

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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.