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Finding the Fourth Proportional to 1,280, 1,921.08 and 510.50

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Solution

The fourth proportional to 1,280, 1,921.08 and 510.50 is: 766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280 : 1,921.08 = 510.50 : x
  2. Step 2: Convert to fraction form
    1,280/1,921.08 = 510.50/x
  3. Step 3: Cross multiply
    1,280x = 1,921.08 × 510.50
  4. Step 4: Simplify right side
    1,280x = 980,711.34
  5. Step 5: Solve for x
    x = 980,711.34/1,280
  6. Step 6: Final answer
    x = 766.18

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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.