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Finding the Fourth Proportional to 690.94, 953.08 and 428.76

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Solution

The fourth proportional to 690.94, 953.08 and 428.76 is: 591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.94 : 953.08 = 428.76 : x
  2. Step 2: Convert to fraction form
    690.94/953.08 = 428.76/x
  3. Step 3: Cross multiply
    690.94x = 953.08 × 428.76
  4. Step 4: Simplify right side
    690.94x = 408,642.58
  5. Step 5: Solve for x
    x = 408,642.58/690.94
  6. Step 6: Final answer
    x = 591.43

Related Problems

Find fourth proportional to 345.47, 476.54 and 214.38
Half scale
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Double scale
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Similar ratio
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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.