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Finding the Fourth Proportional to 1,032.25, 1,424.51 and 618.25

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Solution

The fourth proportional to 1,032.25, 1,424.51 and 618.25 is: 853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.25 : 1,424.51 = 618.25 : x
  2. Step 2: Convert to fraction form
    1,032.25/1,424.51 = 618.25/x
  3. Step 3: Cross multiply
    1,032.25x = 1,424.51 × 618.25
  4. Step 4: Simplify right side
    1,032.25x = 880,703.31
  5. Step 5: Solve for x
    x = 880,703.31/1,032.25
  6. Step 6: Final answer
    x = 853.19

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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.