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Finding the Fourth Proportional to 780.55, 1,076.27 and 532.01

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Solution

The fourth proportional to 780.55, 1,076.27 and 532.01 is: 733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.55 : 1,076.27 = 532.01 : x
  2. Step 2: Convert to fraction form
    780.55/1,076.27 = 532.01/x
  3. Step 3: Cross multiply
    780.55x = 1,076.27 × 532.01
  4. Step 4: Simplify right side
    780.55x = 572,590.42
  5. Step 5: Solve for x
    x = 572,590.42/780.55
  6. Step 6: Final answer
    x = 733.58

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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.