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Finding the Fourth Proportional to 1,038.06, 1,433.16 and 665.19

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Solution

The fourth proportional to 1,038.06, 1,433.16 and 665.19 is: 918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.06 : 1,433.16 = 665.19 : x
  2. Step 2: Convert to fraction form
    1,038.06/1,433.16 = 665.19/x
  3. Step 3: Cross multiply
    1,038.06x = 1,433.16 × 665.19
  4. Step 4: Simplify right side
    1,038.06x = 953,323.70
  5. Step 5: Solve for x
    x = 953,323.70/1,038.06
  6. Step 6: Final answer
    x = 918.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.