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Finding the Fourth Proportional to 670.94, 926.30 and 438.47

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Solution

The fourth proportional to 670.94, 926.30 and 438.47 is: 605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.94 : 926.30 = 438.47 : x
  2. Step 2: Convert to fraction form
    670.94/926.30 = 438.47/x
  3. Step 3: Cross multiply
    670.94x = 926.30 × 438.47
  4. Step 4: Simplify right side
    670.94x = 406,154.76
  5. Step 5: Solve for x
    x = 406,154.76/670.94
  6. Step 6: Final answer
    x = 605.35

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1.5x scale

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.