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Finding the Fourth Proportional to 653.10, 901.44 and 429.18

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Solution

The fourth proportional to 653.10, 901.44 and 429.18 is: 592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.10 : 901.44 = 429.18 : x
  2. Step 2: Convert to fraction form
    653.10/901.44 = 429.18/x
  3. Step 3: Cross multiply
    653.10x = 901.44 × 429.18
  4. Step 4: Simplify right side
    653.10x = 386,880.02
  5. Step 5: Solve for x
    x = 386,880.02/653.10
  6. Step 6: Final answer
    x = 592.37

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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.