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Finding the Fourth Proportional to 1,510.68, 2,265.60 and 470.37

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Solution

The fourth proportional to 1,510.68, 2,265.60 and 470.37 is: 705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.68 : 2,265.60 = 470.37 : x
  2. Step 2: Convert to fraction form
    1,510.68/2,265.60 = 470.37/x
  3. Step 3: Cross multiply
    1,510.68x = 2,265.60 × 470.37
  4. Step 4: Simplify right side
    1,510.68x = 1,065,670.27
  5. Step 5: Solve for x
    x = 1,065,670.27/1,510.68
  6. Step 6: Final answer
    x = 705.42

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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.