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Finding the Fourth Proportional to 970.90, 1,455.90 and 354.76

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Solution

The fourth proportional to 970.90, 1,455.90 and 354.76 is: 531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.90 : 1,455.90 = 354.76 : x
  2. Step 2: Convert to fraction form
    970.90/1,455.90 = 354.76/x
  3. Step 3: Cross multiply
    970.90x = 1,455.90 × 354.76
  4. Step 4: Simplify right side
    970.90x = 516,495.08
  5. Step 5: Solve for x
    x = 516,495.08/970.90
  6. Step 6: Final answer
    x = 531.98

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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.