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Finding the Fourth Proportional to 972.96, 1,459.64 and 583.32

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Solution

The fourth proportional to 972.96, 1,459.64 and 583.32 is: 875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.96 : 1,459.64 = 583.32 : x
  2. Step 2: Convert to fraction form
    972.96/1,459.64 = 583.32/x
  3. Step 3: Cross multiply
    972.96x = 1,459.64 × 583.32
  4. Step 4: Simplify right side
    972.96x = 851,437.20
  5. Step 5: Solve for x
    x = 851,437.20/972.96
  6. Step 6: Final answer
    x = 875.10

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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.