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Finding the Fourth Proportional to 790.30, 1,089.99 and 510.56

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Solution

The fourth proportional to 790.30, 1,089.99 and 510.56 is: 704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.30 : 1,089.99 = 510.56 : x
  2. Step 2: Convert to fraction form
    790.30/1,089.99 = 510.56/x
  3. Step 3: Cross multiply
    790.30x = 1,089.99 × 510.56
  4. Step 4: Simplify right side
    790.30x = 556,503.93
  5. Step 5: Solve for x
    x = 556,503.93/790.30
  6. Step 6: Final answer
    x = 704.17

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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.