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Finding the Fourth Proportional to 1,510.65, 2,075.86 and 1,230.29

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Solution

The fourth proportional to 1,510.65, 2,075.86 and 1,230.29 is: 1,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.65 : 2,075.86 = 1,230.29 : x
  2. Step 2: Convert to fraction form
    1,510.65/2,075.86 = 1,230.29/x
  3. Step 3: Cross multiply
    1,510.65x = 2,075.86 × 1,230.29
  4. Step 4: Simplify right side
    1,510.65x = 2,553,893.27
  5. Step 5: Solve for x
    x = 2,553,893.27/1,510.65
  6. Step 6: Final answer
    x = 1,690.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.