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Finding the Fourth Proportional to 1,032.61, 1,543.03 and 784.45

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Solution

The fourth proportional to 1,032.61, 1,543.03 and 784.45 is: 1,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.61 : 1,543.03 = 784.45 : x
  2. Step 2: Convert to fraction form
    1,032.61/1,543.03 = 784.45/x
  3. Step 3: Cross multiply
    1,032.61x = 1,543.03 × 784.45
  4. Step 4: Simplify right side
    1,032.61x = 1,210,429.88
  5. Step 5: Solve for x
    x = 1,210,429.88/1,032.61
  6. Step 6: Final answer
    x = 1,172.20

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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.