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Finding the Fourth Proportional to 870.10, 1,303.66 and 540.23

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Solution

The fourth proportional to 870.10, 1,303.66 and 540.23 is: 809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.10 : 1,303.66 = 540.23 : x
  2. Step 2: Convert to fraction form
    870.10/1,303.66 = 540.23/x
  3. Step 3: Cross multiply
    870.10x = 1,303.66 × 540.23
  4. Step 4: Simplify right side
    870.10x = 704,273.16
  5. Step 5: Solve for x
    x = 704,273.16/870.10
  6. Step 6: Final answer
    x = 809.42

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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.