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Finding the Fourth Proportional to 953.04, 1,315.08 and 538.96

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Solution

The fourth proportional to 953.04, 1,315.08 and 538.96 is: 743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.04 : 1,315.08 = 538.96 : x
  2. Step 2: Convert to fraction form
    953.04/1,315.08 = 538.96/x
  3. Step 3: Cross multiply
    953.04x = 1,315.08 × 538.96
  4. Step 4: Simplify right side
    953.04x = 708,775.52
  5. Step 5: Solve for x
    x = 708,775.52/953.04
  6. Step 6: Final answer
    x = 743.70

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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.