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Finding the Fourth Proportional to 613.52, 846.48 and 364.76

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Solution

The fourth proportional to 613.52, 846.48 and 364.76 is: 503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 846.48 = 364.76 : x
  2. Step 2: Convert to fraction form
    613.52/846.48 = 364.76/x
  3. Step 3: Cross multiply
    613.52x = 846.48 × 364.76
  4. Step 4: Simplify right side
    613.52x = 308,762.04
  5. Step 5: Solve for x
    x = 308,762.04/613.52
  6. Step 6: Final answer
    x = 503.26

Related Problems

Find fourth proportional to 306.76, 423.24 and 182.38
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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.