Home / 1,045.38-1,566.64-428.70

Finding the Fourth Proportional to 1,045.38, 1,566.64 and 428.70

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Solution

The fourth proportional to 1,045.38, 1,566.64 and 428.70 is: 642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.38 : 1,566.64 = 428.70 : x
  2. Step 2: Convert to fraction form
    1,045.38/1,566.64 = 428.70/x
  3. Step 3: Cross multiply
    1,045.38x = 1,566.64 × 428.70
  4. Step 4: Simplify right side
    1,045.38x = 671,618.57
  5. Step 5: Solve for x
    x = 671,618.57/1,045.38
  6. Step 6: Final answer
    x = 642.46

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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.