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Finding the Fourth Proportional to 670.25, 924.95 and 390.68

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Solution

The fourth proportional to 670.25, 924.95 and 390.68 is: 539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.25 : 924.95 = 390.68 : x
  2. Step 2: Convert to fraction form
    670.25/924.95 = 390.68/x
  3. Step 3: Cross multiply
    670.25x = 924.95 × 390.68
  4. Step 4: Simplify right side
    670.25x = 361,356.34
  5. Step 5: Solve for x
    x = 361,356.34/670.25
  6. Step 6: Final answer
    x = 539.14

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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.