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Finding the Fourth Proportional to 541.59, 747.36 and 320.58

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Solution

The fourth proportional to 541.59, 747.36 and 320.58 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.59 : 747.36 = 320.58 : x
  2. Step 2: Convert to fraction form
    541.59/747.36 = 320.58/x
  3. Step 3: Cross multiply
    541.59x = 747.36 × 320.58
  4. Step 4: Simplify right side
    541.59x = 239,588.67
  5. Step 5: Solve for x
    x = 239,588.67/541.59
  6. Step 6: Final answer
    x = 442.38

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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.