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Finding the Fourth Proportional to 1,050.27, 1,574.94 and 465.24

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Solution

The fourth proportional to 1,050.27, 1,574.94 and 465.24 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.27 : 1,574.94 = 465.24 : x
  2. Step 2: Convert to fraction form
    1,050.27/1,574.94 = 465.24/x
  3. Step 3: Cross multiply
    1,050.27x = 1,574.94 × 465.24
  4. Step 4: Simplify right side
    1,050.27x = 732,732.74
  5. Step 5: Solve for x
    x = 732,732.74/1,050.27
  6. Step 6: Final answer
    x = 697.66

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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.