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Finding the Fourth Proportional to 1,032.39, 1,547.01 and 621.06

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Solution

The fourth proportional to 1,032.39, 1,547.01 and 621.06 is: 930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.39 : 1,547.01 = 621.06 : x
  2. Step 2: Convert to fraction form
    1,032.39/1,547.01 = 621.06/x
  3. Step 3: Cross multiply
    1,032.39x = 1,547.01 × 621.06
  4. Step 4: Simplify right side
    1,032.39x = 960,786.03
  5. Step 5: Solve for x
    x = 960,786.03/1,032.39
  6. Step 6: Final answer
    x = 930.64

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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.