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Finding the Fourth Proportional to 785.02, 1,082.35 and 504.76

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Solution

The fourth proportional to 785.02, 1,082.35 and 504.76 is: 695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.02 : 1,082.35 = 504.76 : x
  2. Step 2: Convert to fraction form
    785.02/1,082.35 = 504.76/x
  3. Step 3: Cross multiply
    785.02x = 1,082.35 × 504.76
  4. Step 4: Simplify right side
    785.02x = 546,326.99
  5. Step 5: Solve for x
    x = 546,326.99/785.02
  6. Step 6: Final answer
    x = 695.94

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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.