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Finding the Fourth Proportional to 945.74, 1,417.95 and 397.47

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Solution

The fourth proportional to 945.74, 1,417.95 and 397.47 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.74 : 1,417.95 = 397.47 : x
  2. Step 2: Convert to fraction form
    945.74/1,417.95 = 397.47/x
  3. Step 3: Cross multiply
    945.74x = 1,417.95 × 397.47
  4. Step 4: Simplify right side
    945.74x = 563,592.59
  5. Step 5: Solve for x
    x = 563,592.59/945.74
  6. Step 6: Final answer
    x = 595.93

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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.