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Finding the Fourth Proportional to 771.84, 1,065.60 and 510.08

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Solution

The fourth proportional to 771.84, 1,065.60 and 510.08 is: 704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.84 : 1,065.60 = 510.08 : x
  2. Step 2: Convert to fraction form
    771.84/1,065.60 = 510.08/x
  3. Step 3: Cross multiply
    771.84x = 1,065.60 × 510.08
  4. Step 4: Simplify right side
    771.84x = 543,541.25
  5. Step 5: Solve for x
    x = 543,541.25/771.84
  6. Step 6: Final answer
    x = 704.21

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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.