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Finding the Fourth Proportional to 430.90, 594.71 and 404.51

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Solution

The fourth proportional to 430.90, 594.71 and 404.51 is: 558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.90 : 594.71 = 404.51 : x
  2. Step 2: Convert to fraction form
    430.90/594.71 = 404.51/x
  3. Step 3: Cross multiply
    430.90x = 594.71 × 404.51
  4. Step 4: Simplify right side
    430.90x = 240,565.61
  5. Step 5: Solve for x
    x = 240,565.61/430.90
  6. Step 6: Final answer
    x = 558.29

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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.