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Finding the Fourth Proportional to 710, 1,065.30 and 505.88

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Solution

The fourth proportional to 710, 1,065.30 and 505.88 is: 759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710 : 1,065.30 = 505.88 : x
  2. Step 2: Convert to fraction form
    710/1,065.30 = 505.88/x
  3. Step 3: Cross multiply
    710x = 1,065.30 × 505.88
  4. Step 4: Simplify right side
    710x = 538,913.96
  5. Step 5: Solve for x
    x = 538,913.96/710
  6. Step 6: Final answer
    x = 759.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.