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Finding the Fourth Proportional to 1,038.95, 1,433.74 and 566.84

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Solution

The fourth proportional to 1,038.95, 1,433.74 and 566.84 is: 782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.95 : 1,433.74 = 566.84 : x
  2. Step 2: Convert to fraction form
    1,038.95/1,433.74 = 566.84/x
  3. Step 3: Cross multiply
    1,038.95x = 1,433.74 × 566.84
  4. Step 4: Simplify right side
    1,038.95x = 812,701.18
  5. Step 5: Solve for x
    x = 812,701.18/1,038.95
  6. Step 6: Final answer
    x = 782.23

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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.