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Finding the Fourth Proportional to 1,510.65, 2,266.04 and 781.65

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Solution

The fourth proportional to 1,510.65, 2,266.04 and 781.65 is: 1,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.65 : 2,266.04 = 781.65 : x
  2. Step 2: Convert to fraction form
    1,510.65/2,266.04 = 781.65/x
  3. Step 3: Cross multiply
    1,510.65x = 2,266.04 × 781.65
  4. Step 4: Simplify right side
    1,510.65x = 1,771,252.12
  5. Step 5: Solve for x
    x = 1,771,252.12/1,510.65
  6. Step 6: Final answer
    x = 1,172.51

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1.5x scale

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.