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Finding the Fourth Proportional to 543.52, 808.28 and 526.22

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Solution

The fourth proportional to 543.52, 808.28 and 526.22 is: 782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.52 : 808.28 = 526.22 : x
  2. Step 2: Convert to fraction form
    543.52/808.28 = 526.22/x
  3. Step 3: Cross multiply
    543.52x = 808.28 × 526.22
  4. Step 4: Simplify right side
    543.52x = 425,330.64
  5. Step 5: Solve for x
    x = 425,330.64/543.52
  6. Step 6: Final answer
    x = 782.55

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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.