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Finding the Fourth Proportional to 434.84, 595.76 and 419.08

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Solution

The fourth proportional to 434.84, 595.76 and 419.08 is: 574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 595.76 = 419.08 : x
  2. Step 2: Convert to fraction form
    434.84/595.76 = 419.08/x
  3. Step 3: Cross multiply
    434.84x = 595.76 × 419.08
  4. Step 4: Simplify right side
    434.84x = 249,671.10
  5. Step 5: Solve for x
    x = 249,671.10/434.84
  6. Step 6: Final answer
    x = 574.17

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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.