Home / 1,038.51-1,433.08-596.40

Finding the Fourth Proportional to 1,038.51, 1,433.08 and 596.40

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Solution

The fourth proportional to 1,038.51, 1,433.08 and 596.40 is: 823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.51 : 1,433.08 = 596.40 : x
  2. Step 2: Convert to fraction form
    1,038.51/1,433.08 = 596.40/x
  3. Step 3: Cross multiply
    1,038.51x = 1,433.08 × 596.40
  4. Step 4: Simplify right side
    1,038.51x = 854,688.91
  5. Step 5: Solve for x
    x = 854,688.91/1,038.51
  6. Step 6: Final answer
    x = 823.00

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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.