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Finding the Fourth Proportional to 953.41, 1,430.13 and 260.08

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Solution

The fourth proportional to 953.41, 1,430.13 and 260.08 is: 390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.41 : 1,430.13 = 260.08 : x
  2. Step 2: Convert to fraction form
    953.41/1,430.13 = 260.08/x
  3. Step 3: Cross multiply
    953.41x = 1,430.13 × 260.08
  4. Step 4: Simplify right side
    953.41x = 371,948.21
  5. Step 5: Solve for x
    x = 371,948.21/953.41
  6. Step 6: Final answer
    x = 390.12

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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.