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Finding the Fourth Proportional to 485.93, 669.83 and 380.77

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Solution

The fourth proportional to 485.93, 669.83 and 380.77 is: 524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.93 : 669.83 = 380.77 : x
  2. Step 2: Convert to fraction form
    485.93/669.83 = 380.77/x
  3. Step 3: Cross multiply
    485.93x = 669.83 × 380.77
  4. Step 4: Simplify right side
    485.93x = 255,047.59
  5. Step 5: Solve for x
    x = 255,047.59/485.93
  6. Step 6: Final answer
    x = 524.86

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Find fourth proportional to 242.97, 334.91 and 190.38
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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.