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Finding the Fourth Proportional to 970.10, 1,454.88 and 392.84

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Solution

The fourth proportional to 970.10, 1,454.88 and 392.84 is: 589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.10 : 1,454.88 = 392.84 : x
  2. Step 2: Convert to fraction form
    970.10/1,454.88 = 392.84/x
  3. Step 3: Cross multiply
    970.10x = 1,454.88 × 392.84
  4. Step 4: Simplify right side
    970.10x = 571,535.06
  5. Step 5: Solve for x
    x = 571,535.06/970.10
  6. Step 6: Final answer
    x = 589.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.