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Finding the Fourth Proportional to 1,050.65, 1,574.82 and 434.02

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Solution

The fourth proportional to 1,050.65, 1,574.82 and 434.02 is: 650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.65 : 1,574.82 = 434.02 : x
  2. Step 2: Convert to fraction form
    1,050.65/1,574.82 = 434.02/x
  3. Step 3: Cross multiply
    1,050.65x = 1,574.82 × 434.02
  4. Step 4: Simplify right side
    1,050.65x = 683,503.38
  5. Step 5: Solve for x
    x = 683,503.38/1,050.65
  6. Step 6: Final answer
    x = 650.55

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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.