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Finding the Fourth Proportional to 1,024.77, 1,528.71 and 947.33

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Solution

The fourth proportional to 1,024.77, 1,528.71 and 947.33 is: 1,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.77 : 1,528.71 = 947.33 : x
  2. Step 2: Convert to fraction form
    1,024.77/1,528.71 = 947.33/x
  3. Step 3: Cross multiply
    1,024.77x = 1,528.71 × 947.33
  4. Step 4: Simplify right side
    1,024.77x = 1,448,192.84
  5. Step 5: Solve for x
    x = 1,448,192.84/1,024.77
  6. Step 6: Final answer
    x = 1,413.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.