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Finding the Fourth Proportional to 970.32, 1,455.12 and 585.12

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Solution

The fourth proportional to 970.32, 1,455.12 and 585.12 is: 877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,455.12 = 585.12 : x
  2. Step 2: Convert to fraction form
    970.32/1,455.12 = 585.12/x
  3. Step 3: Cross multiply
    970.32x = 1,455.12 × 585.12
  4. Step 4: Simplify right side
    970.32x = 851,419.81
  5. Step 5: Solve for x
    x = 851,419.81/970.32
  6. Step 6: Final answer
    x = 877.46

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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.