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Finding the Fourth Proportional to 784.77, 1,083.01 and 430.72

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Solution

The fourth proportional to 784.77, 1,083.01 and 430.72 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.77 : 1,083.01 = 430.72 : x
  2. Step 2: Convert to fraction form
    784.77/1,083.01 = 430.72/x
  3. Step 3: Cross multiply
    784.77x = 1,083.01 × 430.72
  4. Step 4: Simplify right side
    784.77x = 466,470.28
  5. Step 5: Solve for x
    x = 466,470.28/784.77
  6. Step 6: Final answer
    x = 594.41

Related Problems

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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.