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Finding the Fourth Proportional to 554.10, 829.35 and 431.70

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Solution

The fourth proportional to 554.10, 829.35 and 431.70 is: 646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.10 : 829.35 = 431.70 : x
  2. Step 2: Convert to fraction form
    554.10/829.35 = 431.70/x
  3. Step 3: Cross multiply
    554.10x = 829.35 × 431.70
  4. Step 4: Simplify right side
    554.10x = 358,030.40
  5. Step 5: Solve for x
    x = 358,030.40/554.10
  6. Step 6: Final answer
    x = 646.15

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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.