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Finding the Fourth Proportional to 954.02, 1,430.05 and 405.85

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Solution

The fourth proportional to 954.02, 1,430.05 and 405.85 is: 608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.02 : 1,430.05 = 405.85 : x
  2. Step 2: Convert to fraction form
    954.02/1,430.05 = 405.85/x
  3. Step 3: Cross multiply
    954.02x = 1,430.05 × 405.85
  4. Step 4: Simplify right side
    954.02x = 580,376.61
  5. Step 5: Solve for x
    x = 580,376.61/954.02
  6. Step 6: Final answer
    x = 608.35

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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.