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Finding the Fourth Proportional to 970.86, 1,456.54 and 624.36

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Solution

The fourth proportional to 970.86, 1,456.54 and 624.36 is: 936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.86 : 1,456.54 = 624.36 : x
  2. Step 2: Convert to fraction form
    970.86/1,456.54 = 624.36/x
  3. Step 3: Cross multiply
    970.86x = 1,456.54 × 624.36
  4. Step 4: Simplify right side
    970.86x = 909,405.31
  5. Step 5: Solve for x
    x = 909,405.31/970.86
  6. Step 6: Final answer
    x = 936.70

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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.