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Finding the Fourth Proportional to 953.79, 1,315.62 and 705.75

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Solution

The fourth proportional to 953.79, 1,315.62 and 705.75 is: 973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.79 : 1,315.62 = 705.75 : x
  2. Step 2: Convert to fraction form
    953.79/1,315.62 = 705.75/x
  3. Step 3: Cross multiply
    953.79x = 1,315.62 × 705.75
  4. Step 4: Simplify right side
    953.79x = 928,498.82
  5. Step 5: Solve for x
    x = 928,498.82/953.79
  6. Step 6: Final answer
    x = 973.48

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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.