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Finding the Fourth Proportional to 1,045.49, 1,567.42 and 612.14

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Solution

The fourth proportional to 1,045.49, 1,567.42 and 612.14 is: 917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.49 : 1,567.42 = 612.14 : x
  2. Step 2: Convert to fraction form
    1,045.49/1,567.42 = 612.14/x
  3. Step 3: Cross multiply
    1,045.49x = 1,567.42 × 612.14
  4. Step 4: Simplify right side
    1,045.49x = 959,480.48
  5. Step 5: Solve for x
    x = 959,480.48/1,045.49
  6. Step 6: Final answer
    x = 917.73

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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.