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Finding the Fourth Proportional to 970.18, 1,462.58 and 907.54

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Solution

The fourth proportional to 970.18, 1,462.58 and 907.54 is: 1,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.18 : 1,462.58 = 907.54 : x
  2. Step 2: Convert to fraction form
    970.18/1,462.58 = 907.54/x
  3. Step 3: Cross multiply
    970.18x = 1,462.58 × 907.54
  4. Step 4: Simplify right side
    970.18x = 1,327,349.85
  5. Step 5: Solve for x
    x = 1,327,349.85/970.18
  6. Step 6: Final answer
    x = 1,368.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.