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Finding the Fourth Proportional to 542.48, 751.58 and 530.96

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Solution

The fourth proportional to 542.48, 751.58 and 530.96 is: 735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.48 : 751.58 = 530.96 : x
  2. Step 2: Convert to fraction form
    542.48/751.58 = 530.96/x
  3. Step 3: Cross multiply
    542.48x = 751.58 × 530.96
  4. Step 4: Simplify right side
    542.48x = 399,058.92
  5. Step 5: Solve for x
    x = 399,058.92/542.48
  6. Step 6: Final answer
    x = 735.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.