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Finding the Fourth Proportional to 978.34, 1,465.53 and 607

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Solution

The fourth proportional to 978.34, 1,465.53 and 607 is: 909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.34 : 1,465.53 = 607 : x
  2. Step 2: Convert to fraction form
    978.34/1,465.53 = 607/x
  3. Step 3: Cross multiply
    978.34x = 1,465.53 × 607
  4. Step 4: Simplify right side
    978.34x = 889,576.71
  5. Step 5: Solve for x
    x = 889,576.71/978.34
  6. Step 6: Final answer
    x = 909.27

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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.