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Finding the Fourth Proportional to 653.56, 985.18 and 643.84

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Solution

The fourth proportional to 653.56, 985.18 and 643.84 is: 970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.56 : 985.18 = 643.84 : x
  2. Step 2: Convert to fraction form
    653.56/985.18 = 643.84/x
  3. Step 3: Cross multiply
    653.56x = 985.18 × 643.84
  4. Step 4: Simplify right side
    653.56x = 634,298.29
  5. Step 5: Solve for x
    x = 634,298.29/653.56
  6. Step 6: Final answer
    x = 970.53

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.