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Finding the Fourth Proportional to 546.51, 814.42 and 530.72

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Solution

The fourth proportional to 546.51, 814.42 and 530.72 is: 790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.51 : 814.42 = 530.72 : x
  2. Step 2: Convert to fraction form
    546.51/814.42 = 530.72/x
  3. Step 3: Cross multiply
    546.51x = 814.42 × 530.72
  4. Step 4: Simplify right side
    546.51x = 432,223.58
  5. Step 5: Solve for x
    x = 432,223.58/546.51
  6. Step 6: Final answer
    x = 790.88

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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.