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Finding the Fourth Proportional to 543.45, 749.95 and 294.77

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Solution

The fourth proportional to 543.45, 749.95 and 294.77 is: 406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.45 : 749.95 = 294.77 : x
  2. Step 2: Convert to fraction form
    543.45/749.95 = 294.77/x
  3. Step 3: Cross multiply
    543.45x = 749.95 × 294.77
  4. Step 4: Simplify right side
    543.45x = 221,059.01
  5. Step 5: Solve for x
    x = 221,059.01/543.45
  6. Step 6: Final answer
    x = 406.77

Related Problems

Find fourth proportional to 271.72, 374.98 and 147.38
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.