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Finding the Fourth Proportional to 1,417.96, 2,126.95 and 430.79

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Solution

The fourth proportional to 1,417.96, 2,126.95 and 430.79 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.96 : 2,126.95 = 430.79 : x
  2. Step 2: Convert to fraction form
    1,417.96/2,126.95 = 430.79/x
  3. Step 3: Cross multiply
    1,417.96x = 2,126.95 × 430.79
  4. Step 4: Simplify right side
    1,417.96x = 916,258.16
  5. Step 5: Solve for x
    x = 916,258.16/1,417.96
  6. Step 6: Final answer
    x = 646.18

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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.