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Finding the Fourth Proportional to 784.08, 1,082.05 and 434.77

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Solution

The fourth proportional to 784.08, 1,082.05 and 434.77 is: 599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.08 : 1,082.05 = 434.77 : x
  2. Step 2: Convert to fraction form
    784.08/1,082.05 = 434.77/x
  3. Step 3: Cross multiply
    784.08x = 1,082.05 × 434.77
  4. Step 4: Simplify right side
    784.08x = 470,437.47
  5. Step 5: Solve for x
    x = 470,437.47/784.08
  6. Step 6: Final answer
    x = 599.99

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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.