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Finding the Fourth Proportional to 1,033.02, 1,547.47 and 621.93

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Solution

The fourth proportional to 1,033.02, 1,547.47 and 621.93 is: 931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.02 : 1,547.47 = 621.93 : x
  2. Step 2: Convert to fraction form
    1,033.02/1,547.47 = 621.93/x
  3. Step 3: Cross multiply
    1,033.02x = 1,547.47 × 621.93
  4. Step 4: Simplify right side
    1,033.02x = 962,418.02
  5. Step 5: Solve for x
    x = 962,418.02/1,033.02
  6. Step 6: Final answer
    x = 931.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.