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Finding the Fourth Proportional to 690.68, 953.14 and 380.18

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Solution

The fourth proportional to 690.68, 953.14 and 380.18 is: 524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.68 : 953.14 = 380.18 : x
  2. Step 2: Convert to fraction form
    690.68/953.14 = 380.18/x
  3. Step 3: Cross multiply
    690.68x = 953.14 × 380.18
  4. Step 4: Simplify right side
    690.68x = 362,364.77
  5. Step 5: Solve for x
    x = 362,364.77/690.68
  6. Step 6: Final answer
    x = 524.65

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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.