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Finding the Fourth Proportional to 434.56, 595.40 and 429.16

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Solution

The fourth proportional to 434.56, 595.40 and 429.16 is: 588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.56 : 595.40 = 429.16 : x
  2. Step 2: Convert to fraction form
    434.56/595.40 = 429.16/x
  3. Step 3: Cross multiply
    434.56x = 595.40 × 429.16
  4. Step 4: Simplify right side
    434.56x = 255,521.86
  5. Step 5: Solve for x
    x = 255,521.86/434.56
  6. Step 6: Final answer
    x = 588.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.