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Finding the Fourth Proportional to 784.79, 1,082.93 and 430.69

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Solution

The fourth proportional to 784.79, 1,082.93 and 430.69 is: 594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.79 : 1,082.93 = 430.69 : x
  2. Step 2: Convert to fraction form
    784.79/1,082.93 = 430.69/x
  3. Step 3: Cross multiply
    784.79x = 1,082.93 × 430.69
  4. Step 4: Simplify right side
    784.79x = 466,407.12
  5. Step 5: Solve for x
    x = 466,407.12/784.79
  6. Step 6: Final answer
    x = 594.31

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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.