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Finding the Fourth Proportional to 953.50, 1,430.47 and 514.75

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Solution

The fourth proportional to 953.50, 1,430.47 and 514.75 is: 772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.50 : 1,430.47 = 514.75 : x
  2. Step 2: Convert to fraction form
    953.50/1,430.47 = 514.75/x
  3. Step 3: Cross multiply
    953.50x = 1,430.47 × 514.75
  4. Step 4: Simplify right side
    953.50x = 736,329.91
  5. Step 5: Solve for x
    x = 736,329.91/953.50
  6. Step 6: Final answer
    x = 772.24

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Double scale
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1.5x scale

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.