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Finding the Fourth Proportional to 684.77, 944.79 and 509.81

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Solution

The fourth proportional to 684.77, 944.79 and 509.81 is: 703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.77 : 944.79 = 509.81 : x
  2. Step 2: Convert to fraction form
    684.77/944.79 = 509.81/x
  3. Step 3: Cross multiply
    684.77x = 944.79 × 509.81
  4. Step 4: Simplify right side
    684.77x = 481,658.67
  5. Step 5: Solve for x
    x = 481,658.67/684.77
  6. Step 6: Final answer
    x = 703.39

Related Problems

Find fourth proportional to 342.38, 472.40 and 254.90
Half scale
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Double scale
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Similar ratio
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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.