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Finding the Fourth Proportional to 546.39, 753.22 and 415.17

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Solution

The fourth proportional to 546.39, 753.22 and 415.17 is: 572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.39 : 753.22 = 415.17 : x
  2. Step 2: Convert to fraction form
    546.39/753.22 = 415.17/x
  3. Step 3: Cross multiply
    546.39x = 753.22 × 415.17
  4. Step 4: Simplify right side
    546.39x = 312,708.51
  5. Step 5: Solve for x
    x = 312,708.51/546.39
  6. Step 6: Final answer
    x = 572.32

Related Problems

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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.