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Finding the Fourth Proportional to 601.56, 829.98 and 368.76

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Solution

The fourth proportional to 601.56, 829.98 and 368.76 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.56 : 829.98 = 368.76 : x
  2. Step 2: Convert to fraction form
    601.56/829.98 = 368.76/x
  3. Step 3: Cross multiply
    601.56x = 829.98 × 368.76
  4. Step 4: Simplify right side
    601.56x = 306,063.42
  5. Step 5: Solve for x
    x = 306,063.42/601.56
  6. Step 6: Final answer
    x = 508.78

Related Problems

Find fourth proportional to 300.78, 414.99 and 184.38
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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.