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Finding the Fourth Proportional to 1,510.51, 2,266.35 and 586.15

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Solution

The fourth proportional to 1,510.51, 2,266.35 and 586.15 is: 879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.51 : 2,266.35 = 586.15 : x
  2. Step 2: Convert to fraction form
    1,510.51/2,266.35 = 586.15/x
  3. Step 3: Cross multiply
    1,510.51x = 2,266.35 × 586.15
  4. Step 4: Simplify right side
    1,510.51x = 1,328,421.05
  5. Step 5: Solve for x
    x = 1,328,421.05/1,510.51
  6. Step 6: Final answer
    x = 879.45

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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.