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Finding the Fourth Proportional to 604.69, 834.48 and 342.77

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Solution

The fourth proportional to 604.69, 834.48 and 342.77 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.69 : 834.48 = 342.77 : x
  2. Step 2: Convert to fraction form
    604.69/834.48 = 342.77/x
  3. Step 3: Cross multiply
    604.69x = 834.48 × 342.77
  4. Step 4: Simplify right side
    604.69x = 286,030.54
  5. Step 5: Solve for x
    x = 286,030.54/604.69
  6. Step 6: Final answer
    x = 473.02

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Find fourth proportional to 302.34, 417.24 and 171.38
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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.