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Finding the Fourth Proportional to 505.39, 696.19 and 430.46

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Solution

The fourth proportional to 505.39, 696.19 and 430.46 is: 592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.39 : 696.19 = 430.46 : x
  2. Step 2: Convert to fraction form
    505.39/696.19 = 430.46/x
  3. Step 3: Cross multiply
    505.39x = 696.19 × 430.46
  4. Step 4: Simplify right side
    505.39x = 299,681.95
  5. Step 5: Solve for x
    x = 299,681.95/505.39
  6. Step 6: Final answer
    x = 592.97

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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.