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Finding the Fourth Proportional to 975.65, 1,462.05 and 358.70

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Solution

The fourth proportional to 975.65, 1,462.05 and 358.70 is: 537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.65 : 1,462.05 = 358.70 : x
  2. Step 2: Convert to fraction form
    975.65/1,462.05 = 358.70/x
  3. Step 3: Cross multiply
    975.65x = 1,462.05 × 358.70
  4. Step 4: Simplify right side
    975.65x = 524,430.02
  5. Step 5: Solve for x
    x = 524,430.02/975.65
  6. Step 6: Final answer
    x = 537.52

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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.