Home / 1,045.18-1,567.46-314.56

Finding the Fourth Proportional to 1,045.18, 1,567.46 and 314.56

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Solution

The fourth proportional to 1,045.18, 1,567.46 and 314.56 is: 471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.18 : 1,567.46 = 314.56 : x
  2. Step 2: Convert to fraction form
    1,045.18/1,567.46 = 314.56/x
  3. Step 3: Cross multiply
    1,045.18x = 1,567.46 × 314.56
  4. Step 4: Simplify right side
    1,045.18x = 493,050.81
  5. Step 5: Solve for x
    x = 493,050.81/1,045.18
  6. Step 6: Final answer
    x = 471.74

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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.