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Finding the Fourth Proportional to 542.48, 808.59 and 538.23

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Solution

The fourth proportional to 542.48, 808.59 and 538.23 is: 802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.48 : 808.59 = 538.23 : x
  2. Step 2: Convert to fraction form
    542.48/808.59 = 538.23/x
  3. Step 3: Cross multiply
    542.48x = 808.59 × 538.23
  4. Step 4: Simplify right side
    542.48x = 435,207.40
  5. Step 5: Solve for x
    x = 435,207.40/542.48
  6. Step 6: Final answer
    x = 802.26

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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.