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Finding the Fourth Proportional to 1,316.73, 1,973.52 and 612.99

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Solution

The fourth proportional to 1,316.73, 1,973.52 and 612.99 is: 918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.73 : 1,973.52 = 612.99 : x
  2. Step 2: Convert to fraction form
    1,316.73/1,973.52 = 612.99/x
  3. Step 3: Cross multiply
    1,316.73x = 1,973.52 × 612.99
  4. Step 4: Simplify right side
    1,316.73x = 1,209,740.79
  5. Step 5: Solve for x
    x = 1,209,740.79/1,316.73
  6. Step 6: Final answer
    x = 918.75

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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.