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Finding the Fourth Proportional to 540.98, 806.53 and 500.35

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Solution

The fourth proportional to 540.98, 806.53 and 500.35 is: 745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.98 : 806.53 = 500.35 : x
  2. Step 2: Convert to fraction form
    540.98/806.53 = 500.35/x
  3. Step 3: Cross multiply
    540.98x = 806.53 × 500.35
  4. Step 4: Simplify right side
    540.98x = 403,544.02
  5. Step 5: Solve for x
    x = 403,544.02/540.98
  6. Step 6: Final answer
    x = 745.95

Related Problems

Find fourth proportional to 270.49, 403.26 and 250.17
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.