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Finding the Fourth Proportional to 1,036.48, 1,430.18 and 643.50

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Solution

The fourth proportional to 1,036.48, 1,430.18 and 643.50 is: 887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.48 : 1,430.18 = 643.50 : x
  2. Step 2: Convert to fraction form
    1,036.48/1,430.18 = 643.50/x
  3. Step 3: Cross multiply
    1,036.48x = 1,430.18 × 643.50
  4. Step 4: Simplify right side
    1,036.48x = 920,320.83
  5. Step 5: Solve for x
    x = 920,320.83/1,036.48
  6. Step 6: Final answer
    x = 887.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.