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Finding the Fourth Proportional to 540.75, 746.31 and 307.89

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Solution

The fourth proportional to 540.75, 746.31 and 307.89 is: 424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.75 : 746.31 = 307.89 : x
  2. Step 2: Convert to fraction form
    540.75/746.31 = 307.89/x
  3. Step 3: Cross multiply
    540.75x = 746.31 × 307.89
  4. Step 4: Simplify right side
    540.75x = 229,781.39
  5. Step 5: Solve for x
    x = 229,781.39/540.75
  6. Step 6: Final answer
    x = 424.93

Related Problems

Find fourth proportional to 270.38, 373.16 and 153.95
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.