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Finding the Fourth Proportional to 953.04, 1,315.24 and 719.76

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Solution

The fourth proportional to 953.04, 1,315.24 and 719.76 is: 993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.04 : 1,315.24 = 719.76 : x
  2. Step 2: Convert to fraction form
    953.04/1,315.24 = 719.76/x
  3. Step 3: Cross multiply
    953.04x = 1,315.24 × 719.76
  4. Step 4: Simplify right side
    953.04x = 946,657.14
  5. Step 5: Solve for x
    x = 946,657.14/953.04
  6. Step 6: Final answer
    x = 993.30

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1.5x scale

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.