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Finding the Fourth Proportional to 690.76, 953.22 and 380.24

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Solution

The fourth proportional to 690.76, 953.22 and 380.24 is: 524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.76 : 953.22 = 380.24 : x
  2. Step 2: Convert to fraction form
    690.76/953.22 = 380.24/x
  3. Step 3: Cross multiply
    690.76x = 953.22 × 380.24
  4. Step 4: Simplify right side
    690.76x = 362,452.37
  5. Step 5: Solve for x
    x = 362,452.37/690.76
  6. Step 6: Final answer
    x = 524.72

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Find fourth proportional to 345.38, 476.61 and 190.12
Half scale
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Double scale
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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.