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Finding the Fourth Proportional to 670.38, 924.18 and 578.10

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Solution

The fourth proportional to 670.38, 924.18 and 578.10 is: 796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.38 : 924.18 = 578.10 : x
  2. Step 2: Convert to fraction form
    670.38/924.18 = 578.10/x
  3. Step 3: Cross multiply
    670.38x = 924.18 × 578.10
  4. Step 4: Simplify right side
    670.38x = 534,268.46
  5. Step 5: Solve for x
    x = 534,268.46/670.38
  6. Step 6: Final answer
    x = 796.96

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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.