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Finding the Fourth Proportional to 784.03, 1,176.05 and 315.72

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Solution

The fourth proportional to 784.03, 1,176.05 and 315.72 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.03 : 1,176.05 = 315.72 : x
  2. Step 2: Convert to fraction form
    784.03/1,176.05 = 315.72/x
  3. Step 3: Cross multiply
    784.03x = 1,176.05 × 315.72
  4. Step 4: Simplify right side
    784.03x = 371,302.51
  5. Step 5: Solve for x
    x = 371,302.51/784.03
  6. Step 6: Final answer
    x = 473.58

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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.